The 23-year old striker, in just his seventh start of the season, scored his third and fourth goals of the campaign inside 20 minutes at Villa Park.
The goals were his first since he scored in the Champions League in October and first in the Premier League since his double against Swansea City on opening weekend back in August.
After the game, Moyes was thrilled for Welbeck who he feels could have even ended up with a treble.
"Danny Welbeck is someone who we know he needs to keep scoring goals, he was good today and was a threat and could have had more today," he told Sky Sports.
"It would have been nice for him to get a hat-trick but two is a good tally for him."
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