Non-Indigenous (We Use Red) Worms of Vermicomposting Vs Indigenous South Fl.’s Earth Worms

I tried regular/traditional composting, but never as successful as Vermicomposting with Non-Indigenous Red Worms. For a while now, I have wanting to do better by Using Indigenous South Fl.’s Earth Worms in Vermicomposting
Or if I have to
Going back to regular/traditional composting.

What are differences in what each type of worms eat & will not eat?