It’s possible the name could be changed in the future, similar to how Super Saiyan God Super Saiyan (SSGSS) was renamed to Super Saiyan Blue or just Blue in Dragon Ball Super. The name ‘Super Saiyan God Super Saiyan’ was not mentioned in the Dragon Ball Z: Resurrection F movie itself, where the form made its debut, but rather that name was first revealed as part of marketing for it through Shueisha’s Weekly Shonen Jump Magazine.
The official name is actually Super Saiyan God Super Saiyan Evolution (or Super Saiyan God Super Saiyan Shinka in Japanese).
You can take a look at visuals of both the original Super Saiyan God Super Saiyan (Super Saiyan Blue) and Super Saiyan God Super Saiyan Evolution below.
We can see Super Saiyan God Super Saiyan Evolution being renamed to Super Saiyan Blue Evolution or just Blue Evolution.