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Ronaldo was left out of the squad for the second match in a row after the club said he had an undisclosed illness, although the Portugal's star latest comments will increase speculation that he has played his final game for the club.
Sancho provided a cool finish, rounding keeper Danny Ward and slipping the ball home in the 23rd minute after being set up by Marcus Rashford from a Bruno Fernandes break down the right.
United coach Eric Ten Haag is eager to bring in another goalkeeper to add pressure on first choice David de Gea.
It was the first win for United's Dutch manager Erik ten Hag who was rewarded for his decision to leave Cristiano Ronaldo and club captain Harry Maguire on the bench.
Pogba, who left United when his contract expired last month, has signed a four-year contract with Juventus that will tie the 29-year-old down with the Turin club until June 2026.
The defeat means it is now mathematically impossible for sixth-placed United to qualify for the Champions League, as they sit five points adrift of fourth-placed Arsenal with one game left to play.
Ronaldo's 62nd-minute strike was his 17th league goal this season with only Mohamed Salah of Liverpool having found the target more often.
United has been led by interim managers Michael Carrick and currently Ralf Rangnick since Ole Gunnar Solskjaer was fired in November.
An 82nd minute strike from Joao Moutinho earned Wolves their first win at Old Trafford since 1980 and moved Bruno Lage's side up to eighth place.
The result stretched Manchester United interim manager Ralf Rangnick's unbeaten start to four games in all competitions.
Results 11-20 of 154
