The 19-year-old played on the right side as one of three centre-backs alongside Mamadou Sakho and Tiago Ilori as the young Reds produced another impressive display.
Gomez looked very comfortable, saw a lot of the ball and also provided an assist.
It was a terrific night as well for Matty Virtue as he scored his first hat-trick in a red shirt with three outstanding strikes.
Spaniard Madger Gomez enjoyed an excellent game and fired a spectacular opening goal from over 25-yards out with his left-footed strike finding the net via the underside of the bar.
The young Reds played some terrific football with the movement and slick passing causing Burnley a lot of problems and a quarter-final place is now assured.