Left back Shaw made his first United start for a month in the 3-0 victory against the Black Cats despite suffering a Mourinho moan last week.
Shaw made 61 minutes before he was replaced by Daley Blind – but not before he had assisted Henrikh Mkhitaryan and received a yellow card.
The Portuguese gaffer accused Shaw of not being able to think for himself after he came on as a second-half substitute at Old Trafford, claiming the 21-year left-back played with “his body, but my brain” as he needed to constantly be told what to do by him from the sidelines.
Last weekend, following another home draw with West Brom, Mourinho told the media that Shaw — a £27m buy when Louis van Gaal was manager — is “a long way behind” his other left-backs, finding fault with “the way he trains, the way he way he commits, the focus, the ambition.”
Shaw hit back and claimed he would do all he could to impress his boss – and it appears he has found his chief’s respect.
“Yes, he played well, played solid,” Mourinho told Sky Sports. “The opposition was not creating problems, but he was solid, read the game well to go in there when Mkhitaryan was inside.
“It was a good hour for him. I thought about a half-time change but that was too harsh for him. I wanted him to play a little bit more. I took him off because the referee was under a little bit of pressure, so no risk.
“We need him to be available. It was good to protect him, but was also good for him to play one hour with a good solid performance and no mistakes, so I’m really pleased for him.”
United eased to a simple victory over the Black Cats with Zlatan Ibrahimovic, Mkhitaryan and Marcus Rashford keeping Mourinho’s side’s top four ambitions alive.