Where does “Εὐγένιος” come from?

Εὐγένιος (Byzantine Greek) comes from Ancient Greek εὐγενής, from Ancient Greek εὖ, from Ancient Greek ἐΰς, from Proto-Hellenic ehu-, from Proto-Indo-European h₁su-, from Proto-Indo-European h₁wes- — good; to be cheerful, happy; to eat, to feast.

Εὐγένιος (Byzantine Greek): noble, high-born; well born