I mentioned first it all depends on the terms and conditions of the site you uploaded to.
Normally, in an RF situation it’s the composer’s responsibility to register their tracks with their PRO. Some, not all, RF libraries offer publishing admin and will register your tracks for you, if you designate admin to them. Some RF libraries that follow a performance free model require that your tracks not be PRO-registered.
But your question appears to stem from this issue:
if I give a track to a RF library it’s prohibited to deposit this track to my PRO.
The answer to that depends on the country in which you live and the PRO you are affiliated with. Particularly in EU nations, the PROs may be quasi-governmental agencies with exclusive rights to control the music that you register with them.
Again, this is one reason why joining a U.S. PRO may be advantageous.