Well, careful there. I suspect what OP is describing are actual FORMS that Latin and Afro-Cuban music use which manifest rhythmically (e.g. Clave, son, guaguanco, etc). They are specific rhythmic forms that the rhythm section needs to know. Doing them incorrectly is kind of like hitting the wrong chord changes on a blues. That would make it not a blues anymore (I'm not talking about chord subs or established variations like bird blues, I mean truly off the reservation stuff).
The music is actually counted in terms of these rhythmic forms rather than Beats 1 2 3 etc, but you can figure them out by mapping them to how they would be charted on sheet music. I'm struggling to make an example on mobile but a little googling will help illustrate.
It is WAY cool stuff to learn and practice to, and very challenging if you are not used to it.