Anadolu Efes led by as many as 26 points in Kaunas and decimated Zalgiris to maintain a top four push (58-79).
A 15-24 run in the second quarter helped the Turks close the first half in front by 11 (29-40) and never look back.
The visitors were dominant on both ends of the floor and extended their lead to 18 (45-73) and 26 points (53-79) to cruise to an easy victory on the road.
Adrien Moerman led the winners with 23 points, as Rodrigue Beaubois and Bryant Dunston added 13 and 12 points, respectively.
On the other hand, no player scored in double figures in the losing squad, which suffered its third straight loss in the competition.
Anadolu Efes improved to 11-6, whereas Zalgiris Kaunas dropped to 7-10. The Lithuanians have lost seven times at home this season.