One has to assume that it can cut through all of the aboveâ€¦..but it's still stupidâ€¦.
In the way i think it works, it's a "normal" magical axe wielded by a thunder god on anyone else, but on any Celestial based Tech/Powers/Nature has the added bonus to be deadly and capable of cutting through any defense and "bleed them out".
Basically, cutting through Adamantium? probably doable if it's secondary, if primary maybe can dent it. if it's Cap's shield, probably not normally unless wielded by a skyfather (Still, the new Thor in #3 apparently broke a "adamantium/vibranium" door with her bare hands while she was being actively depowered by the 60 second spell, so i don't know how much "unbrakable it is right now); if it's a celestial made mesh, Celestial armor, Death Seeds/Horsemen of Apocalypse, even incorporeal ones? all killable and hurtable, even top Celestials, given the weapon acts on them like a normal weapon acts on a normal human, preventing their "repairing" themselves apparently.