Having matched the Selecao for the first 45 minutes, Mexico came unstuck after the break in Samara .
Neymar swooped from close range to open the scoring, before forcing a late rebound that was turned home by Roberto Firmino to seal a 2-0 victory.
But Osorio turned his ire on referee Gianluca Rocchi, whom he accused of leaning towards the Brazil side in his decisions.
"I think the officiating totally favored the Brazilians," the Colombian fired to Telemundo after the final whistle.
"It looked to me like their forwards were always looking for the contact and the foul and the referee always protected them. I think the officiating got too involved."
Neymar was another man to feel Osorio's wrath after finding himself in the thick of the action on Sunday.
"Unfortunately, it's a shame we wasted a lot of time because of one single player," he fired
"This is a real shame for football. We lost our style in the second half, due to the referee's style of too many stoppages and my players got tired of that situation.
"There was a situation where there was a four-minute stoppage and that's a poor example for the world of football and all the children.
"It's a strong sport, a man's sport and I think there shouldn't be so much acting."
Despite going out once more in the fourth game of the World Cup, Osorio believes his charges can be proud of their campaign and how it ended.
"When you compare the possession against Brazil we had 53 percent against 47 percent, it looked to me the game was very even and it was decided in the penalty area," he added.
"You have to remember that the second goal was at the very end of the game.
"Mexico gave a good account, stood toe to toe, but we didn’t have the efficiency in the final third that they sure do in the final third.
"Mexico started well, we had a good start, but unfortunately we didn’t finish our chances well, and when you face a team with that quality up front you’re always in danger of them finding the game."