The Blues were disappointing in the first-half, with Lampard making three changes at the interval.
One of which was Barkley, who went on to score the winning goal after 63 minutes.
Speaking after the game, Barkley said: "[Lampard said] just that we were not good enough for the Chelsea badge, to be performing like that in the first half.
"And to be vocal on the pitch and make things happen and we improved in the second. We could've done a bit better with the final pass, myself and a few others, but yeah..."