In a poor first half, a Babel header restored parity after Eindhoven had taken the lead from a dubious corner.
Liverpool upped the tempo after the break looking much the sharper.
It was Riera who provided the lead with an explosive volley into the left-hand corner, the spainard had looked lively all match as did Robbie Keane who kept running and taking up good positions.
It was Keane who set up the third with a brilliant through-ball for Ngog to slot home the winner.
With Athlectico only drawing with Marseille, Liverpool win the group on 14 points.