HARRISON, N.J. — The match was decided quickly, another one-sided derby with more yellow cards than suspenseful moments. But the hostility between coaches during and after the Red Bulls’ 4-1 victory over New York City F.C. on Sunday is likely to linger and feed this growing soccer rivalry.

“Stop crying, stop complaining,” N.Y.C.F.C. Coach Patrick Vieira said he had told his Red Bulls counterpart, Jesse Marsch, when Vieira was sent off by the referee during a first-half water break. “Jesse’s team was playing well, but he was frustrated. I feel sorry for him.”

Vieira, tossed for leaving his coaching area, was infuriated that Marsch had criticized M.L.S. referees during the week before this match with claims that officials favored superstars like David Villa, Andrea Pirlo and Frank Lampard. Marsch was fined by the league for his complaints, but Vieira was certain that the respected referee Mark Geiger and the two sideline assistants, C. J. Morgante and Adam Wienckowski, had been affected by those remarks during Sunday’s game.

“Influencing the referee during the week had a massive part in the game,” said Vieira, who is likely to be fined for his postmatch comments. He said that Marsch had “got what he wanted.”