Moyes' Manchester United winger Young has once again come under criticism for two controversial incidents in the Red Devils' 2-0 win against Crystal Palace on Saturday.
Sky Sports football expert Gary Neville told Monday Night Football: "Moyes has made his bed on diving.
"He did last season as well before the Liverpool game about Luis Suarez and then Phil Neville dived for Everton about half an hour into the game.
"Moyes has always condemned diving, he absolutely hates it and feels there is no place for it in the game. He'll struggle to get it out, he'll be a lone crusader, or he'll not have many with him at least."
Young was given a yellow card within the first half after deliberately tripping over Palace defender Kagisho Dikgacoi's leg in the penalty box, and Neville thinks that Moyes may pay the price for scrutinising the England international.
"The fact of the matter for Young is that he looked a little sheepish when he came away from it. He put his hands on his head and then got away from the situation quickly.
"It probably brought him back to a couple of years ago. I think at the time Sir Alex Ferguson said he would have a word with him, tell him to take the pressure off himself, because he has got a reputation and people will be looking out for it.
"He's also not the only player for Manchester United that goes to ground by the way.
"I do think this is something in the game you're going to struggle to get out of it, because of the fact there are grey areas. It's not always black and white.
"This one though isn't a good one. I think he's deliberately tried to kick someone to get a penalty."
Retrospective bans for anyone who dives, I think most people can agree on that. Managers to warn players after the first offence and drop the player for further offences. Young might think he makes himself popular with Utd fans by winning a penalty, but quite the opposite - we do not want our club being brought into disrepute. I'd rather lose a game than win it in that fashion.- nicobellik