The Scot wants to see the Belgian striker return from injury and re-find his early season form, and has challenged him to create and provide more goals for the team
Mirallas was top goalscorer for his former club last season with 20 goals and notched an impressive 14 the year before, but has struggled to produce the same form since moving to Merseyside.
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"I don't think he's firing on all cylinders. I think he's not returned the way I would like him yet," Moyes told reporters ahead of their weekend clash with Norwich.
"He's still getting used to the Premier League and I think he's got to create me more goals and he's got to score me more goals.
"That's what I'm waiting for him to do. He knows that, I've told him that, and we're hoping for more."
Mirallas started brightly in England with two goals and two assists on his full debut in a 5-0 win over Leyton Orient in the Capital One Cup, followed by a first league goal against Swansea City a month later.
And Moyes feels this is the sort of form the Belgian striker needs to show in order to help him re-discover his proven goalscoring touch.
He continued: "His form at the start of the season was excellent and we saw what he's capable of. I don't think we've really had that off him yet since he came back from his injury."