Allardyce felt the scoreline was a harsh reflection on his side.
"I think we showed in the first half that we didn't deserve to be 1-0 down," he said.
"The game at this level is 90-95 minutes long not 45. For me we didn't recover from that (second) goal going into the start of the second half and that was the disappointing thing.
"We could have taken a lot of encouragement from the first half and the chance from Modibo Maiga that was well saved (by Simon Mignolet) is one you want to go in when you come to the big boys, but I couldn't criticise as it was a super save off a very good header.
"The second goal killed us for a while, got Liverpool right up for it."
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