Rosler’s side appeared to be coasting to a first Championship win of the season after Mirco Antenucci’s first-half penalty and Chris Wood’s opening Leeds goal after 52 minutes.
But City substitute Kieran Agard equalised in the 89th-minute before Aden Flint bundled home the equaliser in the fifth minute of added time.
“The six minutes was one of the things I was asking about,” said Rosler, who marched over to referee Gavin Ward at the final whistle.
“I think there were there were two injury breaks – one on our side was a minute, one of theirs was one-and-a half-minute, and there were two goals 30 seconds each.
“That makes four (minutes) to me but I think everybody in the stadium got very excited when they scored the first goal and that includes the referees. They got very excited.
“The crowd couldn’t believe it when they saw six minutes, they thought it was carnival
“It gave them another boost but it was our third away game in six days and my boys have been terrific.
“I have to be careful what I’m saying to the people who make that sort of arrangement, three games in six days, but at some point soon probably clubs and players will be suing somebody because of the amount of possible injuries.”
City manager Steve Cotterill was unimpressed by Rosler’s complaints about the referee’s time-keeping and said Leeds only had themselves to blame.
“The six minutes could have been seven as it took them three-quarters of an hour to take a goal kick in the first half,” Cotterill said.
“If you’re going to do it – and they tried to kill time – you’re going to get burned by it. So don’t do it.
“But I’m disappointed because we absolutely battered them and they found it very difficult. I thought we were excellent and deserved to win the game.
“The referee has made a mistake on the penalty because he hasn’t touched him and we’ve undone ourselves on the second one and then it was a mountain to climb.
“But we deservedly got something out of the game. Our football was fantastic and that’s how we want to play, and as soon as we get rid of those small errors we are going to be a force to be reckoned with.”
City remain in talks with Brentford striker Andre Gray over what would be a record purchase for the club of around B#9million.
But Cotterill declined to elaborate on the potential transfer, simply saying: “There’s nothing more to talk about on that one.”