So... is Amaama to Inazuma finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 20, 2016
Manga finished: December 07, 2018
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Amaama to Inazuma is about a single father, Kouhei, who struggles to provide proper meals for his young daughter, Tsumugi, after his wife's passing. He's not a good cook and relies on store-bought food.
One day, one of his students, Kotori, offers to have them over for dinner at her family's restaurant. However, they soon discover that the restaurant is usually closed because Kotori's mother is often away for work.
Kouhei, Tsumugi, and Kotori begin cooking together at the restaurant, learning to prepare delicious and nutritious meals. The story focuses on their evolving relationships and the importance of home-cooked food and the warmth of sharing meals.