Uefa has opened disciplinary proceedings against Serbia and England following incidents in Sunday's European Under-21 Championship match.
Uefa is to look into the abuse aimed at defender Onuoha
It will investigate Serbia for racist chants from their fans at Nedum Onuoha and the conduct of their players both during and after the match.
The conduct of England players after the match will also be looked at.
Meanwhile, the Football Association has made a formal complaint to Uefa over the alleged racist abuse.
The FA has complained about racist chanting from Serbia fans towards Onuoha.
And an FA statement added: "A complaint has also been submitted over the further racist abuse directed at England players by at least one member of the Serbian team in the tunnel after the match."
England's Justin Hoyte is thought to be the player targeted in the tunnel by at least one opposition player.
A statement from Uefa said: "In regard to alleged racist chanting, we will instigate proceedings against the FSS (Serbian Football Association) over the misconduct of their supporters.
"Proceedings will also be instigated against the FSS for the improper conduct of their players on two occasions: following England's second goal and after the match.
"Uefa will also commence proceedings against the Football Association for the improper conduct of the England players after the match."
All the cases will be discussed at a meeting of Uefa's control and disciplinary body on 12 July.
Uefa made an impromptu anti-racism announcement after the abuse and will act once it receives the referee's report.
Everything started from the second goal when they did not have respect for a player who was on the floor
Serbia coach Miroslav Djukic
"We have a policy of zero tolerance for racism," Uefa spokesman William Gaillard told BBC Five Live Sport.
"Any incident of racism is completely unacceptable.
"We always do carry out an investigation whenever there is an incident because we want things to be clear."
England's 2-0 win clinched a place in the European Championship semi-finals.
But the victory was overshadowed by the treatment of Onuoha.
England Under-21 coach Stuart Pearce backed the player to cope with the abuse.
"He's an outstanding young man, not just as a footballer," said Pearce, who coached Onuoha at Manchester City.
"I've got that first-hand knowledge of him and he comes from a great family. He's a credit to the English nation.
"He's such a strong character, that's the case with most of our players. I told them that is what is going to happen at international level.
"It's difficult to keep restraint under provocation. You've got to learn that in football."
The game was also overshadowed by England's controversial second goal.
Needing a win to finish second in Group B, Leroy Lita headed England in front after five minutes.
Matt Derbyshire sealed the win 13 minutes from time, sparking a mass brawl as the Blackburn forward was played onside by Serbia defender Filip Rydel, who was down with an ankle injury.
Serbia coach Miroslav Djukic criticised his country's fans but also hit out at England for the way in which they won the game.
He stated: "Racism is definitely a bad thing. I did not see or hear what was happening as I was concentrating on the game.
"In my career I played against players from all nations and these things are bad but I also have never seen a player who is hurt and the opposition carry on to score a goal.
Serbia's players were furious with England's second goal
"It was unfair from England players, who are meant to be gentlemen. Tonight they were not gentlemen.
"Everything started from the second goal when they did not have respect for a player who was on the floor."
Pearce added: "Matt is one of the most genuine people I know.
"He probably would have kicked the ball out if he saw him (defender Slobodan Rajkovic)."
James Milner, who was named man of the match, said: "It was a job well done. We rallied and put in a good performance.
"Their player took the goal-kick after he had gone down. I don't know if it was cramp. I don't think the lads knew anything."
England's Tom Huddlestone, who was a late substitute, received a red card for dissent in the last minute.
"I said you must learn by that. It's wrong what he has done," said Pearce.