Substitute Clinton N'Jie's late strike earned Lyon a 1-0 victory at Rennes in their final game of the season.
Liverpool give U21s more game time than Premier League rivals but top flight lags behind Europe.
Lyon were held to a 1-1 draw at home by Bordeaux on Saturday as their faint title hopes came to a disappointing end.
Paris Saint-Germain won a third straight French Ligue 1 title on Saturday when a 2-1 win at Montpellier.
PSG are on the brink of winning the Ligue 1 title after Caen stunned Lyon 3-0 on Saturday, while Metz were relegated.
The Ligue 1 title is almost in Paris St Germain's hands after Caen stunned Lyon 3-0 on Saturday.