But the England international was unable to score, with Scott McTominay netting the winner in the closing stages to give the Red Devils all three points.
With five goals to his name, Rashford has started to look closer to the player he was before Ralf Rangnick's disastrous spell as interim boss last term.
Yet Ten Hag, speaking ahead of Sunday's showdown with Newcastle, has now insisted the 24-year-old must sharpen up in order to get even better.
Last season, United were reliant on Cristiano Ronaldo - with the Portugal international scoring 24 goals, more than double any of his team-mates.
Ronaldo is on two, having scored in victories over sheriff and Everton, while Bruno Fernandes and Scott McTominay have both notched once each.
And Ten Hag feels he's got players in his squad who are more than capable of scoring 20 goals across all competitions.
And Ten Hag also opened up on Antony, too, expressing a belief the Brazil international can get even better following his stunning start to life in England.
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