The French side had trailed 1-0 from the first leg and the tie went to extra time after the same score in the return.
Tulio de Melo struck late on to seal a lucrative victory for Rudi Garcia’s men.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.