Bordeaux star Yoann Gourcuff (R) celebrates scoring the opening goal with teammate Michael Ciani during their Champions League clash against Bayern Munich at Allianz Arena on Tuesday. Photo: AFP

Bayern Munich coach Louis van Gaal admitted his side were simply not good enough after they were effectively knocked out of the Champions League on Tuesday after suffering a 2-0 defeat at home to Bordeaux.

This was Bayern's first home European defeat in five years as Bordeaux striker Marouane Chamakh took advantage of a mistake in the home side's defence to score a late goal after midfielder Yoann Gourcuff netted a first-half header.

"In such an important game, it is always important to score a goal, which we didn't do," said van Gaal.

"We had no luck and we were not awarded a clear penalty after Bordeaux had a hand-ball.

"These are the small things which can turn a game.

"We just weren't good enough.

"That wasn't our best game, but we are not out yet and we still have another small chance."

But with two games left - at Juventus and home to Maccabi Haifa - in the group stages, Bayern now need a miracle to qualify as the defeat leaves them third in the table six points behind leaders Bordeaux and four behind Juventus.

Bayern captain Mark van Bommel admitted he was at fault when Gourcuff was left unmarked to score a simple header just before half-time.

"I should have been there for the first goal - it was my fault - then we weren't given a clear penalty and (striker) Luca Toni missed two chances to score," admitted van Bommel.

"We tried everything in the second-half, but the ball wouldn't go in.

"We didn't play badly, we were better than them after the break, but it was hard out there."

And Bordeaux boss Laurent Blanc praised his side for getting a rare win in Germany.

"We came here determined to play well, but knowing the difficulty which awaited us," said the 43-year-old.

"We knew Bayern are not that confident at the moment.

"We didn't create that many chances, but we defended well and didn't give them many opportunities.

"It was good for us psychologically to get the first goal and all in all we are very satisfied.

"It was a good achievement to come here and get a win in Munich which puts us in the next round."