Rangers' captain Dan Neil scored a brace, with Kevin Kelsy also finding the net in a thumping win for the home side. The quality of the football may have been patchy, but Rangers' commitment was enough to get the 51,212 home fans at the top of their voices and lay down a marker for the season.
The match was played at Ibrox, with Celtic's goalkeeper Sam Johnstone making several mistakes during the game. Rangers' captain Dan Neil was signed on a free transfer from Sunderland in the summer, and his performance was a key factor in the win.
The result sets up a semi-final tie for Rangers, who will look to build on this momentum in their bid for the Scottish League Cup title.