So... is Momo Kyun Sword finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished after the manga:
Anime finished: September 24, 2014
Manga finished: March 01, 2013
... But we could not confirm the source content in MangaUpdates.
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
Momoko, a swordswoman born from a peach, lives peacefully with her animal god companions Inugami, Sarugami, and Kijigami.
Their tranquil life is shattered when a demon army, commanded by a devil king, attacks and steals a vital treasure.
To restore peace and save her homeland, Momoko and her loyal friends embark on a perilous journey to reclaim the stolen treasure from the demon king.
Their adventure will test their strength and resolve as they face various challenges along the way.