Sasuke with his Rinnegan awakened is called Sasuke (Rinne Sharingan). However, the Rinne Sharingan is a totally different Dojutsu and is only used by Six Paths Madara Uchiha (in story mode and during his Awakening) and Kaguya Otsutsuki. Furthermore, the Rinnegan is periwinkle or purplish colored. Sasuke's Rinnegan also has has six tomoe on it while the Rinne Sharingan is blood red and has nine tomoe.