The Black Cats were beaten after conceding three goals in nine second-half minutes at the KC Stadium to miss out on a semi-final date with Sheffield United at Wembley.
After the match, Poyet was not offering any excuses after seeing his Sunderland team eliminated from the competition, saying they were well below par especially in front of goal.
"We didn't create enough but I'm not going to try to find any excuses," he said.
"The players who played today were not good enough and that is simple - in the 50-50s, in the diving, in dealing with the referee when he panicked for 10 minutes - in not recovering well and not creating one chance."
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