So... is Heavy Object finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished before the manga:
Anime finished: March 26, 2016
Manga finished: October 08, 2021
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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
In a future dominated by colossal, seemingly invincible weapons called "Objects," traditional warfare is obsolete. Two ordinary soldiers, Qwenthur and Havia, find themselves in an extraordinary situation while serving in a support unit for one of these Objects, the Baby Magnum.
When a mission goes wrong, they are forced to confront an enemy Object with nothing but their ingenuity and courage. This encounter sets off a chain of events that challenges the accepted dominance of Objects on the battlefield.
The story follows Qwenthur, Havia, their Object pilot Milinda, and their commander Frolaytia as they travel the world, facing seemingly impossible odds against increasingly powerful enemy Objects. They must use their intelligence and bravery to find ways to overcome these technological behemoths and survive.