So... is Oreca Battle 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
Oreca Battle follows the adventures of Faiya Orega, a boy passionate about the world of Oreca competitions.
Faiya gains the extraordinary ability to summon actual Oreca monsters, thanks to the enigmatic Pandora's box.
With this newfound power, Faiya is tasked with safeguarding the Oreca world from a looming threat: a powerful demon king aiming to disrupt its peace.
He must use his monster summoning skills to battle the demon king and his forces, protecting the land he loves.