The Everton boss had never faced Chelsea before in his managerial career and returned to Stamford Bridge for the first time since his sacking from the club in 2011, but it got off to the worst start when Mason Mount produced a fine, swiveled finish in the 14th minute.
Chelsea continued to dominate throughout and doubled their lead seven minutes later as Pedro (21) slotted home. But the game was ultimately decided just after the break, when Willian (51) and Olivier Giroud (54) hit Everton with two quick goals, leaving Ancelotti and his assistant Duncan Ferguson stoney-faced on the touchline.
Everton have now gone over four years without a Premier League goal at Stamford Bridge and remain in 12th with 37 points. For Chelsea, they have strengthened their grip on fourth place, moving onto 48 points – five ahead of Wolves in fifth place.