Madness represents pilot psyche. Fetters are unchanged. Memory Fragments can still be memories or backstory, but should be more relevant. They're supposed to be justification for knowledge and skills, so they need to be more broad as-is, like Fate Aspect-tier broad. Premonition is whatever your overarching trauma is.
Combat is unchanged, except it isn't you with all of the parts, but the Eva. Pilots are not vulnerable to damage on the field of battle unless the enemy chooses to target the Torso after all parts there have been destroyed, maybe with some sort of auto defend 1 to reduce damage to pilots (who have a basic HP of, say, 2, or a wound threshold of two before being crippled). Angel design would be the fun part, since you can split up one Angel across several monsters. You could have the main Angel being represented as a Savant, with their core as a Horror, their limbs Legions, etc., since single enemies don't work too well unless you give them a very complicated amount of AP, parts, skills, and reactions.
It would work very well, all-in-all, if you don't mind the lack of ability to bet parts outside of the Eva (although you could bet a wound, perhaps?). I also recommend using the rebuild of Nechronica's rules by this bloke, makes combat more manageable as a GM: >>56207818
. Of course, it would work just as well in base Nechronica, but beware of chain attacks being overpowered as fuck due to how they keep damage adds from stuff like Super Strength.