Arsenal defender White opened the scoring on his England recall, though he conceded a late penalty, which was converted by Real Madrid midfielder Federico Valverde for Uruguay.
Maguire said at the final whistle: "A bit crazy, scoring the first goal. I thought he was brilliant when he came on.
"I can't say anything about the defending for that one (the penalty) - if that was me in that position I'd be attempting to block the shot as well. That's what we've got to do. That's a real soft penalty.
"He's been good all week, a big smile on his face and he's brought great energy to the camp. He got his rewards tonight with the goal, and I thought he was brilliant when he came on."
He also said: "I thought that we controlled the whole game really, they didn't create a chance.
"We could have been better, we know that. When we made changes, we lost a bit of the rhythm with the game plan, but that is what happens in these games when you make changes on 60-70 minutes.
"But we had control of the game, they didn't really get in our box, and then it's a ridiculous penalty."