Moyes believes United were more impressive at Upton Park than in their 3-0 midweek victory over Olympiacos that saved his side's Champions League bacon.
"Shinji (Kagawa), (Juan) Mata, Rooney, they all stood out," said Moyes.
"Shinji had a great chance, Mata had a great chance, and Marouane Fellaini should have scored from a header.
"Scoring three at West Brom, then three against Olympiakos, and now two today, we're now showing signs of doing it better.
"If anything they stepped up the performance again today."
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