In the semi-final encounter played at the Academy Stadium Jess Park put City up 1-0 in the 21st minute before Shaw doubled the lead in the 27thafter she tapped into an empty net after Caroline Weir’s shot took a deflection following a terrific run from Lauren Hemp.
Shaw, who celebrated her 25th birthday on Monday, January 31, actually had a chance to open the scoring when she surged into the box early in the game but she shot past goalkeeper Rebecca Spencer but wide of the far post.
Hemp sealed the victory in the 71st minute to send City into the final set for March 5.
Shaw scored in the 46th, 62nd and 85th minutes as Manchester City ran out 6-0 winners over Leicester City. Vicky Losada (53rd), Alex Greenwood (71st) and Filippa Angeldhal (87th) were the other scorers in the rout that marked a return to winning ways for the Garth-Taylor coached side.
"It's a wonderful feeling," said Shaw, who was scoring for the first time on her home ground after signing in the summer from Bordeaux. "It's always good to score goals and help the team. I'm here to help the team in any way possible. I'm here to win trophies and you have to win games first and foremost.”
She said she has been working on certain aspects of her game that she believes will help her become even better at what she does best; scoring goals.
"It's one of the things I've been trying to work on: getting in the right positions and timing it right for when the ball comes,” she said. "When you practice and it happens on the pitch, you're happy because it's something you've practised before. I have to give my team credit because they played me some wonderful balls.
"It's a team effort. I'm scoring the goals but if it wasn't for my team, it wouldn't be possible. As long as I'm getting the balls in the right positions to help the team, you can see more.”
The Jamaican striker scored after just four minutes before adding a second in the 21st.
Lauren Hemp added a third for Manchester City in stoppage time at the end of the first half as the English side went into the break, up 3-0.
The Citizens were unable to add a fourth until the 82nd minute when Vicky Losada netted.
Denya Castellanos added a fifth from the penalty spot in the 89th.
Salt was rubbed into the Kazakhstan side’s gaping wound when Aytaj Sharifova’s own goal completed the rout.
The victory means Manchester City gets another crack at Real Madrid, which knocked them out of the qualifying round of the Champions League last season.
Real Madrid blanked Austria’s Sturm Graz 6-0 in their encounter.
