  In graphene moir\'e superlattices, electronic interactions between layers are
mostly hidden as band structures get crowded because of folding, making their
interpretation cumbersome. Here, the evolution of the electronic band structure
as a function of the interlayer rotation angle is studied using Density
Functional Theory followed by unfolding bands and then comparing them to their
corresponding individual components. We observe interactions at regions not
theoretically elucidated so far, where for small interlayer angles, gaps turn
into discrete-like states that are evenly spaced in energy. We find that
$V_{pp\sigma}$ attractive interactions between out-of-plane orbitals from
different layers are responsible for the discretization. Furthermore, when the
interlayer angle becomes small, these discrete evenly-spaced states have energy
differences comparable to graphene phonons. Thus, they might be relevant to
explain electron-phonon-assisted effects, which have been experimentally
observed in graphene moir\'e superlattices.
