Carlo Ancelotti ensured there would be no repeat of the extra time shenanigans it had taken to beat the Millers by naming a stronger side than he had that day, and the front four of James Rodriguez, Dominic Calvert-Lewin, Richarlison and Gylfi Sigurdsson all had good games as the Blues pulled away in the second half.
The Blues controlled possession and played some intricate, delightful football at times as they had visitors Wednesday chasing shadows in the first half. To their credit, the Owls did not come to Goodison Park and sit back and absorb pressure. They showed a decent amount of endeavour with the ball and tested Robin Olsen in the Everton goal with a couple of on-target shots.
Richarlison looked to have put the Blues ahead early but the linesman’s flag was his biggest enemy tonight as he continued to fall foul of the assistant ref. DCL though made no mistake when Andre Gomes did well to get to the goalline and put in a low cross that evaded the goalkeeper.
Two quick headed goals from delightful James inswinging corners, one from Richarlison and the other from Yerry Mina ended this as a contest early in the second half, and allowing Ancelotti to pull off some players and give them a rest.
Tyler Onyango and Thierry Small made their first team debuts late on, with the latter becoming the youngest player to make an Everton appearance in a competitive game.
Everton will now take on the winner of Wycombe Wanderers versus Tottenham Hotspur at Goodison in the Fifth Round of the competition, scheduled to be played around 10th February.