Juventus and Real Madrid both exited the Champions League on Friday night.
The Serie A champions were trailing 1-0 from the first leg in France and conceded again in Turin.
Memphis Depay increased Lyons advantage from the penalty spot in the first.
Cristiano Ronaldo drew Juve level with his own spot kick and added a spectacular second.
But in the end, Maurizio Sarris men did not find one more goal, that would have sent them into the quarter-finals.
Manchester City beat Real Madrid 2-1 at the Etihad, to qualify on a 4-2 aggregate.
Pep Guardiolas men will face Lyon in the last eight.