So... is Tonagura! finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: October 01, 2006
Manga finished: July 01, 2011
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
Tonagura! tells the story of Kazuki, who is excited to reunite with her childhood crush, Yuuji, after ten years.
However, her idealized image of him is quickly challenged by his unexpected behavior.
With their parents away, the two families must navigate living together and rediscover the bonds they formed as children.
Adding to the complexity, Kazuki and Yuuji find themselves attending the same school, creating even more comical and potentially awkward situations.