So... is Back Street Girls: Gokudolls finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 05, 2018
Manga finished: September 15, 2018
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Three yakuza members botch a job and are given an ultimatum by their boss: death or transformation into female pop idols. They choose the latter and undergo extensive training, emerging as the idol group Goku Dolls.
While physically transformed, their yakuza mindset remains, creating a bizarre clash with their new profession. To combat this, their boss hires a renowned manager to help them embrace their idol personas and achieve success.
The anime explores the comedic struggles of these former gangsters as they navigate the world of pop stardom, trying to reconcile their past lives with their current identities, all while attempting to please their demanding boss and avoid the potentially dire consequences of failure.