Does an author have to submit an article to Math databases once it has been published in a journal? Let us suppose one publishes an article in a peer-reviewed journal that is archived, indexed, etc. in databases such as Zentralblatt, ResearchBib, etc. Does the author have to manually submit his/her information and his/her journal article to those databases, or this is done automatically by the journal or by such databases?
For Zentralblatt or MathSciNet, which are by far the most important databases in mathematics, there's no need to manually submit anything.  I would assume the same is true for any comprehensive database (if you depend on author submissions, you won't get anywhere near complete coverage), but I suppose it could depend on the particular case.  I've never heard of ResearchBib, so I can't say anything there.