Cyriel Dessers scored in both halves to secure Rangers' place in the Scottish League Cup semi-final with a 3-0 win over Dundee.
James Tavernier netted the other goal in a dominant performance by the hosts at Ibrox on Saturday.
Trevor Carson smothered Dessers' first-time shot in the 18th minute, but Rangers brilliantly recycled play, with the forward staying alert and sticking out a leg to turn in Tavernier's follow-up effort.
Oluwaseun Adewumi could have levelled the score before the break but, as he raced in behind the defence, Jack Butland rushed out of his box and timed his challenge perfectly to keep his clean sheet.
Just four minutes into the second half, Rangers were awarded a penalty as Dessers was dragged down on a corner and Tavernier made no mistake from 12 yards.
Butland was then called into action again, making a superb double-save to deny Simon Murray from close range twice in quick succession.
Dessers rounded off the scoring in the 66th minute, meeting Nedim Bajrami's cross first-time to steer a brilliant shot past Carson.
Data Debrief: Rangers starting to build momentum
Rangers have suffered just one domestic defeat so far this season, going down 3-0 in the Old Firm against rivals Celtic.
They have now kept a clean sheet in five of their seven such games, though they faced just five shots from Dundee on Saturday with Butland being tested twice.
Rogers pens long-term Aston Villa deal
Morgan Rogers has signed a new contract to keep him at Aston Villa until the end of the 2029-30 season.
Rogers, newly minted as a full England international after making his debut against Greece last week, joined Villa in February from Middlesbrough.
He swiftly established himself as a regular in Unai Emery's set-up, and has played 22 times in the Premier League, making 19 starts.
The 22-year-old has netted six goals and provided three assists in the top flight.
Rogers has also started each of Villa's four Champions League matches this season.
His tally of nine chances created in the Champions League is the most of any player in Villa's squad, five more than next-best Ollie Watkins.
Doncic backs Mbappe to turn fortunes around at Real Madrid
NBA superstar Luka Doncic has backed Kylian Mbappe to "figure it out" after his underwhelming start to life at Real Madrid.
Mbappe has scored eight goals in 16 games for Madrid in all competitions since joining as a free agent following the expiration of his Paris Saint-Germain contract.
He has gone four matches without a goal – a run that includes losses to Barcelona and Milan – and has been left out of France's latest squad.
However, Dallas Mavericks guard Doncic – a Real Madrid supporter due to his previous ties with the sports club – can see Mbappe turning things around.
"Obviously [their season] could be better," Doncic told Managing Madrid after the Mavericks' win over the San Antonio Spurs on Saturday.
"But when you get a guy like Mbappe, it takes some time to get used to it. We'll figure it out."
Mbappe has scored six goals in 11 LaLiga appearances for Madrid but has underperformed his season's expected goals (xG) total by 2.04.
The forward is averaging a goal every 166 minutes in all competitions this term, compared to one every 88 minutes for PSG in his last of seven seasons in Paris.
Madrid thrashed Osasuna 4-0 last time out in the league to return to winning ways but still trail leaders Barcelona by six points.
Asked about his connections with Madrid, former Los Blancos basketball player Doncic said: "I follow Real Madrid every time.
"I grew up there. They taught me everything, so it's a part of my life. You can call it a secondary home.
"I learned a lot of stuff there and, especially, they gave me a way to be here right now [in Dallas]. I always appreciate that 100%."
Madrid return to action after the international break with a trip to Leganes on Sunday.
Real Madrid 0-4 Barcelona: Guijarro brace sets visitors up for Clasico glory
Patri Guijarro's first-half brace set Barcelona on their way to a thumping 4-0 win over rivals Real Madrid in Liga F on Saturday.
Claudia Pina and Alexia Putellas were also on target as Barcelona continued their perfect start to the season, extending their lead at the top of the table.
The visitors dominated from the off, as Guijarro broke the deadlock inside the fourth minute, tapping in from Putellas' flick-on from a corner.
Cata Coll was forced into a big save to deny Alba Redondo an equaliser shortly after, but Madrid's hope was soon dented as Guijarro picked out the bottom corner with a superb long-range strike for her second.
Pina strengthened their lead six minutes before the break, clinically slotting past Misa with her low strike.
Putellas added some more gloss to the scoreline with four minutes remaining of normal time, beating the Madrid keeper with a lovely dink to bring up her 199th goal for the club.
Barcelona have won all 10 of their games, and now sit eight points clear of Madrid, who suffered their first league defeat of the campaign.
Data Debrief: Total dominance
Madrid will have felt fairly confident coming into this game after a strong start to their season, but they once again failed to find a way past their Clasico rival.
Los Blancos have lost every single game they have played against Barcelona in all competitions, with this their 15th such meeting.
Barcelona smothered their attack early on, restricting their hosts to just one shot in the first half, while they had 10.
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