After a scoreless first half, the Black Eagles managed a 1-0 victory against Caykur Rizespor with Larin's goal at Vodafone Park.
Ittifak Holding Konyaspor and Medipol Basaksehir also advanced to the final eight.
Wednesday's Round of 16 results:
Ittifak Holding Konyaspor - Gaziantep FK: 2-1
Tuzlaspor - Medipol Basaksehir: 1-5
Besiktas - Caykur Rizespor: 1-0