Antoine Semenyo was Everton's nemesis again as Bournemouth reached the FA Cup fifth round on a terrible afternoon for Blues skipper James Tarkowski.
Semenyo, who had ignited Bournemouth's comeback victory on the same ground in August, won and converted the penalty which set the Cherries on their way midway through the first half.
Tarkowski, who had conceded the spot-kick, then gave the ball away for Daniel Jebbison to add a second for the visitors in what was the final cup-tie ever played at Goodison Park.
Everton improved after January loan signing Charley Alcaraz came off the bench for his debut but couldn't breach Kepa's goal despite hitting the woodwork three times.