"But that's the thing, they talked too much before the game - and now they're going home."
Neymar scored one goal and played a key role in the other as his side set up a quarter-final against Belgium.
However, he has faced accusations of diving.
Osorio said the incident with Layun halted Mexico's momentum as they chased the game following Neymar's opening goal, and that referee Gianluca Rocchi "favoured Brazil".
"It is a shame for football, we wasted a lot of time because of one player," said the Mexico boss after his side's loss.
"This is a game of men that is played with intensity and not with so much clowning.
"It is a shame for all the people watching, all the children watching. There shouldn't be acting. I think this had an impact on our pace and style.
"The game totally favoured Brazil. Too many interventions from the referee."
Neymar said the Brazilian players "have to learn to suffer".
"I don't care much for criticism, or praise, because this can influence your attitude," Neymar told TV Globo. "I think it's more an attempt to undermine me than anything else."
Brazil coach Tite defended his player and insisted Layun "stepped on him".
"I saw it on the screen," said Tite. "In the previous match, he was excellent and here he repeated a high-quality performance," he added.
Former England striker Alan Shearer on BBC One: "It was absolutely pathetic. There is no doubting his ability, we saw a backheel, a finish and setting up of the second goal but it is pathetic when he is rolling around pretending to be in agony. Why does he feel the need to do that?"
Former Germany striker Jurgen Klinsmann: "If you look at the whole game, how many fouls were there on Neymar? Loads. Was he overreacting for the Layun challenge? Absolutely, but Layun steps on him."
