Orsimer don't get any type of bonus damage from different types of axes do they? I'm probably confused with wow or something

I think they SHOILD get bonusto using orcish weapons, just like Nords should get bonus to ancient nord weapons, and elves to elven weapons, so forth and so on. Maybe a native armor / weapon perk could be introduced in the DLC's.

By the way you were confused with WoW. It's really easy to confuse WoW lore/ mechanics to Skyrim lore/ mechanics

They dont, But I only use orcish weapons on my orc, elven on my elves, Ebony on my redguards...oh wait..... Haha

no but they have the berzerk power