Everton were off to a good start under the tutelage of interim head coach Duncan Ferguson, after the dismissal of Marco Silva.
The Blues were condemned to their fifth league defeat of the season by the Everton side who had won one in their last five league games.
The hosts took the lead five minutes into the game through their in-form talisman Richarlison, and Dominic Calvert-Lewin’s double in the second half rendered Mateo Kovacic’s effort a mere consolation.
Lampard was less than impressed with the West Londoners’ performance that was riddled with individual errors.
The 41-year-old believes they gave away three cheap goals to the Merseyside-based club, and Chelsea could not match Everton.
"We gave them three goals,” the former Derby County manager said after his side’s 3-1 defeat at Everton.
"I suppose the first goal will be seen as a good goal from their point of view but we know Richarlison’s good in the air, he scores a lot of goals and we didn’t deal with it.”
"Then when you give Everton that goal to hang on to, we gave ourselves a problem.”
"We didn’t create enough chances and we didn’t want to shoot enough, we dribble into their box and we try and beat someone else. We need to shoot more.”
"And then the other two goals were just really poor from our point of view.”
"You dominate a game with possession, you play a team that play with a lot of fighting spirit in the moment when they’re fighting for their interim manager and for themselves and we’ve got to do more.”
"I think we matched them on the work rate. Work rate is one thing, I expect us to match everyone in this league on that, but sometimes physical contact is another.”
"So if you’re not going to win headers or balls that bounce down and you’re not going to go through the ball and the man a little bit then at places like Goodison, especially, it’s going to be really hard to come and win.”