United led through Robin van Persie and created countless other chances to seal victory.
But they failed to take their opportunities, leaving the visitors to claim a point after Lallana got the faintest of touches to Dejan Lovren's goal-bound effort.
"We should probably have put the game to bed earlier," said Moyes.
"We had a couple of chances, hit the bar and had a couple of other opportunities.
"We had some pockets of play when we were very good and there were times when we were not as good.
"It was a mixed game at times, but we still had those chances that I was hoping we would finish off."
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