The German powerhouses crashed out from the Champions League thanks to Joselu’s two goals in three minutes to cap off an amazing late comeback.
But Tuchel lost his cool when the linesman controversially refused to allow Bayern to equalize late in the game.
Many of the Bayern backroom personnel received yellow cards from the referee as a result of the decision, which infuriated them.
In his post-match press conference, Tuchel, who had also been booked earlier in the game, became enraged about the ruling.
He said, as reported by the Sun, “I think it’s pretty clear and [there] cannot be in my opinion any doubt that it is against every rule of modern football.
“The first big mistake is from the linesman, he did it in an action in overtime in an action with Alphonso Davies he did it also, he raised his flag straight away.
“I don’t know if he was offside. I got a strange feeling. To raise your flag in a situation like this when you can never be sure that this is offside, to have the guts to raise the flag in a situation like this is a huge call. And it’s the wrong call.
“The referee has the chance when he sees that we win the second ball and we win the rebound and we get the shot away within five seconds, he has the chance not to whistle.
“He takes the decision to whistle – it is against every rule. We accept we lost. It is what it is but that would not have happened on the other side.”
At the closing stage of the game, with nine minutes remaining, Bayern mounted a comeback. When Matthijs de Ligt blasted a low shot past Real Madrid custodian Andriy Lunin, they believed they had tied the score.
The linesman flagged for offside, but referee Szymon Marciniak had already blown his whistle despite the extremely close decision.
The loss means Thomas Tuchel will leave Bayern Munich without winning any trophy at the end of the season.
