A satisfactory evening after a disappointing start for Liverpool as they progress 4-1 on aggregate.
The Reds fell behind to an early goal from a corner but hit back through Mascherano and Babel before half time. Gerrard made it comfortable on 57 minutes and the game was over from there.
Liverpool will face French side Lille in the last 16 of the competition.
Unirea Urziceni: Arlauskis, Galamaz, Bruno Fernandes, Bordeanu, Maftei, Paraschiv (Vilana 55), Paduretu, Frunza, Apostol, Bilasco, Onofras (Semedo 61). Subs (not used): Tudor, Mehmedovic, Nicu, Marinescu, Rusescu.
Booked: Arlauskis, Fernandes, Onofras
Goals: Fernandes 18
Liverpool: Reina, Agger, Insua, Carragher (Kelly 60), Skrtel (Kyrgiakos 65), Gerrard, Benayoun (Aurelio 77), Mascherano, Lucas, Babel, Ngog. Subs (not used): Cavalieri, Aquilani, Torres, Kuyt.
Booked: Mascherano, Babel
Goals: Mascherano 29, Babel 40, Gerrard 59