Alfredo Morelos bagged a double and Sheyi Ojo was also on target as Steven Gerrard's men chalked up a 7-2 aggregate success to set up a tie against Legia Warsaw.
Aberdeen are out after losing 2-0 to Rijeka at Pittodrie, having been beaten by the same score in Croatia last week.
Meanwhile, Celtic will play AIK Stockholm in their Europa League play-off after the Swedish side overcame Sheriff of Moldova last night.