The name Averi means Elf Ruler and is of English origin. Averi is name that's been used by parents who are considering unisex or non-gendered baby names--baby names that can be used for any gender.
From the Norman (French) form of the given name Alfred" Aelf "elf" and ræd "counsel" or "ruler." Avery Schreiber, comedian. James Avery, actor.