So... is Happy Sugar Life finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 29, 2018
Manga finished: January 22, 2020
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
Happy Sugar Life follows Satou Matsuzaka, a high school girl known for her loose morals, whose life takes a dramatic turn when she meets a young girl named Shio.
Satou experiences what she believes is true love for the first time and dedicates herself to protecting Shio at all costs.
They begin living together, hidden from the world, as Satou goes to extreme lengths to maintain their idyllic, albeit secretive, life together and ensure their "happy sugar life" remains undisturbed.
The story explores the depths of Satou's obsession and the consequences of her actions as she strives to preserve her unique bond with Shio.