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How would a hypothetical, fully-committed war between these two oppressive, war driven species end?

Same sort of situation as the Vong wars, with the Vong attacking the outer-rim worlds and making their way inward.

No outside help from other factions/powers (i.e. the Je'daii, Esh'Kha, etc.).

Combatants:

The Yuuzhan Vong as of their campaign against the known Galaxy in 25 ABY
Vs
The Rakata Infinite Empire as of 30,000 (the empire's "Prime".

How would this go down?

Not sure. Ratakan tech is apparently 1337, but their hyperdrive is inferior, and they only controlled a few hundred planets.

Personally I liked the idea that they had a few interesting dark-side technologies but were otherwise primitive compared to the modern GFFA.

Vong, the Rakata tech military wise....meh, never saw anything impressive. They don't even have good warships, the only thing good they have is the Starforge but the ships that they used had like...2 laser cannons and that's it.