So... is Gaist Crusher 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
In the future, specifically the year 2047, a powerful metal called Gaimetal is discovered and mined globally.
However, in 2075, metallic creatures known as Gaist, also made of Gaimetal, begin attacking humanity.
To combat this threat, the Gaist Crusher Garrison (GCG) is formed, and they develop Gaist Crushers – humans equipped with special Gaimetal armor called Gaist Gear.
The story follows these Gaist Crushers as they defend the world from the Gaist.
They also face opposition from a mysterious group called the Erasers, adding another layer of conflict to their mission.