So... is Majuu Senshi Luna Varga finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
The Dunbas Empire is aggressively targeting the peaceful kingdom of Rimbell.
Rimbell's three princesses stand defiant, particularly the spirited Luna, who wields a sword.
An unexpected event in the castle's depths transforms Luna into something extraordinary.
Now bonded with a legendary reptile, Varga, Luna gains new abilities and a reptilian feature.
She faces a colossal enemy and embarks on a rescue mission to save her sister from a flying beast.