Xavi felt Barcelona "deserved more" from Thursday's defeat at Manchester United after Antony's 73rd-minute strike dumped his team out of the Europa League at Old Trafford.
Following a thrilling 2-2 draw at Camp Nou last week, Robert Lewandowski converted a penalty after Bruno Fernandes hauled down Alejandro Balde to put Barca ahead at half-time of the second leg.
But Fred equalised shortly after the interval, and Antony struck with less than 20 minutes to play to send United through 4-3 on aggregate and knock Xavi's side out of the competition.
It was Barca's first defeat against the Red Devils since 2008, and the first time in 38 matches in all competitions that they had lost a game after leading at half-time.
Xavi believes his players' efforts at Old Trafford warranted more than they received, telling Movistar+ after the match: "In such evenly matched knockout matches, details are important. I think we deserved something more.
"The goal to make it 1-1 hurt us. We lost a ball and they equalised. They put more intensity and we lost more duels in the second half.
"It has been an even tie. There have even been moments in which we have been very comfortable.
"This is a big disappointment but we have to focus on the competitions we have left. We had a great rival in front of us."
Despite Barca having now been knocked out of both the Europa League and Champions League this season, Xavi says this season's continental efforts have been an improvement on last campaign, when they were again knocked out of Europe's premier competition before succumbing to Eintracht Frankfurt in the Europa League final eight.
"We have been better than last year," Xavi explained. "The message is a bit like when they eliminated us in the Champions League. This year we have competed against Bayern [Munich], against Inter.
"We have been better. We have competed in this tie.
"You have to be very self-critical and think about what needs to be improved. We may not be satisfied, but there has been an exponential change compared to last year.
"Next year we have to improve. They are big teams and it is hard to compete. Next year we will come back stronger."
Asked whether new signings are needed for Barca to compete at the top level again, Xavi replied: "Soon we'll see if we can sign [players]. What is clear is that we haven't competed for two years."
Pep Guardiola can understand United’s motivation to end City’s treble hopes
Pep Guardiola believes stopping Manchester City winning the treble could give Manchester United extra motivation in the FA Cup final.
The two neighbouring rivals clash in the Wembley showpiece for the first time on Saturday with more than a trophy and local bragging rights at stake.
For Premier League winners City victory could be the second leg of a potentially glorious treble with the final of the Champions League to come next week.
United on the other hand – as the only side to have won all three of those competitions in the same season, back in 1999 – will be anxious to stop them and protect their place in history.
City manager Guardiola said: “I could understand that. It belongs to them, that’s normal. Sport is like that.
“’That belongs to us – we don’t want anyone else to do it,’ it’s normal, that feeling. It’s completely understandable. But it’s a football game, who will be better will win.”
United boss Erik ten Hag, however, has played down the party-pooping aspect of his side’s task.
The Dutchman has enjoyed an encouraging first season at Old Trafford having won the Carabao Cup and reclaimed a Champions League spot.
“I know what is the thinking from the fans,” Ten Hag said.
“But what we want is to restore Manchester United by winning trophies. We have an opportunity to win a trophy and we don’t want to be distracted by anything.
“If it’s important for the fans then it’s important for us, so we will give everything to win the cup.”
Guardiola insists the treble is not part of his thinking yet. He has spent the week preparing to face United and will switch focus to playing Inter Milan in Istanbul next week.
“We didn’t speak once about Inter these days,” he said. “We’ll have Sunday off, and after we’ll have three or four days training.
“We’ll introduce what we believe Inter are, to try to beat them, then. We have time. Saturday to Saturday is a long time to prepare for a game.
“United and the FA Cup deserve the full attention and commitment. The players are completely aware of that.”
City could have a fully-fit squad with Kevin De Bruyne, Jack Grealish, Ruben Dias and Manuel Akanji, who all missed last week’s game at Brentford, having since returned to training.
Guardiola has confirmed second-choice goalkeeper Stefan Ortega will start, as he has in all domestic cup fixtures this season.
United are without striker Anthony Martial due to a hamstring injury and winger Antony is also a major doubt.
Man City players will give everything to win FA Cup final – Pep Guardiola
Pep Guardiola has promised Manchester City fans his side will “give everything” to beat rivals Manchester United in the FA Cup final.
The neighbouring clubs clash in the competition’s Wembley showpiece for the first time as the domestic season reaches a mouth-watering climax on Saturday.
There is plenty of incentive for City as they look to claim the second leg of the treble and move a step closer to matching United’s 1999 haul of Premier League, FA Cup and Champions League trophies.
Yet even just taking the game in isolation, City manager Guardiola is well aware of how much simply beating United in a major final – after plenty of suffering at their hands in the past – would mean to supporters.
With that in mind, and his players fully focused, Guardiola has urged fans to savour the occasion.
He said: “I will ask to our fans, behave properly first and, secondly, go there to enjoy an incredible event, knowing the players will give everything to beat Man United.
“The consequences and the result, who knows it? I don’t know it. (United manager) Erik ten Hag doesn’t know it.
“It’s a football game. Enjoy the moment and enjoy next week to prepare for the (Champions League) final, to dream of seeing the team. It’s the best way.
“You have to understand anything can happen but we are going to do everything to beat United.
“I understand completely for City fans, who were in the shadow for decades behind United.
“We’ll try to do the best game as possible. So I would say have fun, enjoy the right portion of beers before the game and, that’s all. Enjoy it.”
The fact City are bidding for the treble could also give United extra motivation, however, as they not only look for a derby cup triumph but to preserve the uniqueness of their club’s own achievement 24 years ago.
“I could understand that, it belongs to them,” said Guardiola. “That’s normal. Sport is like that. It’s completely understandable.
“But it’s a football game. Who will be better will win.”
After an intensive schedule in the closing weeks of the Premier League season, City have had a full week to prepare of the fixture.
Guardiola even had time to attend a Sir Elton John concert in Manchester while some of the players went to watch Coldplay at the Etihad Stadium.
The City boss has no doubt the mental break has done his players good.
He said: “When you have these events in this city – and one of the legends, Sir Elton John – you have to use them.
“They’ve trained really good these last two training sessions. There’s a good mood in the locker room and on the pitch.
“We know what we are playing for. I don’t have to tell them. It is the final of the FA Cup against United, the chance to add another trophy. This is the mentality we have right now.”
Manchester United boss Erik ten Hag says the chance to stop Manchester City’s treble charge provides no extra motivation heading into the FA Cup final.
The eyes of the footballing world will be on Wembley on Saturday afternoon for the first-ever all-Manchester cup final.
United head to the capital looking to end a promising first season under Ten Hag by winning both domestic cups in the same campaign for the first time.
Neighbours City already have the Premier League title under their belt and are looking to lift the FA Cup a week before heading to Istanbul to take on Inter Milan in the Champions League final.
Lifting both of those trophies would see Pep Guardiola’s men join Sir Alex Ferguson’s 1999 treble heroes as the only English sides to achieve the feat – something United supporters are desperate to stop.
“I know what is the thinking from the fans,” Ten Hag said. “But what we want is to restore Manchester United by winning trophies.
“So, on Saturday we have an opportunity to win a trophy and we don’t want to be distracted by anything.
“If it’s important for the fans then it’s important for us, so we will give everything to win the cup.”
Asked why he would not use the chance to extinguish City’s treble hopes as extra motivation at Wembley, Ten Hag said: “Because it is not necessary.
“That will not give more motivation to the team because their motivation is already enough. That can’t be more.
“They want to win the cup and they have an opportunity. They want to set a crown on the season, so what do you need more? What is more motivation?”
This will be the Manchester clubs’ third meeting of the season, with City winning 6-3 in October before United triumphed 2-1 at Old Trafford in January.
Those were the first times that Ten Hag and Guardiola have faced each other in management but their relationship goes back a decade.
The Dutchman spent two years as Bayern Munich II head coach as the now City boss coached the perennial Bundesliga champions’ senior side.
Asked what makes Guardiola so special, Ten Hag said: “Oh, I don’t tell! It’s obvious we have seen what he is doing, he’s doing a brilliant job.
“What he can do is he can construct not only winning teams but also winning in a very attractive way, so that is why I think we all admire him so.”
Ten Hag says winger Antony is expected to miss the final and United confirmed earlier this week Anthony Martial would be absent due to a muscular tear.
The 27-year-old’s future is unclear after an injury-hit season but it appears the recovery time from this issue may hamper any chances of moving him on.
“It’s going to be a long one but how long we don’t know,” Ten Hag said. “We have to do more assessment.”
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