Craig Dawson was brought down by Dwight McNeil in the box late in the first-half, but referee Graham Scott did not point to the spot.
VAR upheld Scott's decision and Moyes wasn't happy when speaking after the game.
He said: "I think this weekend we're seeing more soft penalty kicks given in the Premier League, in my opinion, than we've seen all season. So I think if those ones were given I would have expected today's to be given. But it's got to be really correct. I thought today's was worthy of that if that's the level [those given on Saturday] of penalty kicks."
On the overall performance, Moyes added: "Our performance was better than we'd played, but in the final third - we've seen it a few times recently - we've not quite been able to make the final pass or do something a bit special.
"We scored three goals against Chelsea last week but we couldn't get any today. But we tried hard and if anyone was going to win it, it was certainly going to be us. I thought we had a good part in dominating the game today."
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