<https://www.etymonline.com/word/authority>
<https://www.etymonline.com/word/author>
So an author is one who creates, but also a "source of authoritative information or opinion".
Confusingly, authentic seems to have a different etymology, *autos "self" (see auto-) + hentes* "doer, being".
<https://www.etymonline.com/word/authentic>
So to authenticate an author as an authority derives three meanings from two separate roots.