So... is Mahou Shoujo Tokushusen Asuka finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 30, 2019
Manga finished: February 25, 2021
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 years prior, Earth was invaded by terrifying creatures called the Disas, and humanity was on the brink of extinction.
Magical girls, empowered by the Spirit Realm, rose up to fight them, eventually pushing them back and saving the world.
Now, the legendary team of magical girls known as the "Magical Five" have disbanded, trying to return to normal lives.
Asuka, their leader, attempts to live a peaceful life as a high school student, but the threat isn't truly gone.
New dangers emerge, forcing Asuka to return to the battlefield as a magical girl, facing a conflict potentially even more devastating than the last.