Barcelona went onto win the game 4-0 with Turan setting up Messi with the opening goal on 7 minutes.
The Argentinian went onto score a hat-trick and Neymar wrapped up a convincing victory with the fourth and final goal seven minutes before full-time.
Turan started his second consecutive game this time replacing Andres Iniesta on the left of midfield. The bearded winger had played ahead of Rakitic on the right side of midfield in the Spanish Cup Last 16 first-leg 4-1 victory over Espanyol in his official debut.
The bearded winger was replaced by Adriano on 78 minutes after an impressive performance.
Fellow summer signing Aleix Vidal will also make his first start after also making his debut against Espanyol.
Barcelona 4-0 Granada
Kick-Off: 15:00 GMT
Barcelona (4-3-3): Barça XI: 13.Bravo 3.Piqué 4.Rakitic 7.Arda 9.Suárez 10.Messi 11.Neymar 18.Jordi Alba 20.S.Roberto 22.Aleix Vidal 23.Vermaelen
Subs: 1. Ter Stegen 5. Sergio 6. Alves 8. A.Iniesta 19. Sandro 21. Adriano 24. Mathieu
Manager: Luis Enrique
Granada (5-3-2): Fernández; Mendez, Lombán, Doria, Rochina, Biraghi; Agbo, Krhin, Pérez; Peñaranda, Success
Subs: El Arabi, Ibanez, Kelava, Lopes, Mainz, Marquez, Rico
Goals: 7′ 14′ & 58′ Messi, 83′ Neymar