  The cosmic history before the BBN is highly determined by the physics that
operates beyond the Standard Model (BSM) of particle physics and it is poorly
constrained observationally. Ongoing and future precision measurements of the
CMB observables can provide us with significant information about the pre-BBN
era and hence possibly test the cosmological predictions of different BSM
scenarios. Supersymmetry is a particularly motivated BSM theory and it is often
the case that different superymmetry breaking schemes require different cosmic
histories with specific reheating temperatures or low entropy production in
order to be cosmologically viable. In this paper we quantify the effects of the
possible alternative cosmic histories on the $n_s$ and $r$ CMB observables
assuming a generic non-thermal stage after cosmic inflation. We analyze TeV and
especially multi-TeV supersymmetry breaking schemes assuming the neutralino and
gravitino dark matter scenarios. We complement our analysis considering the
Starobinsky $R^2$ inflation model to exemplify the improved CMB predictions
that a unified description of the early universe cosmic evolution yields. Our
analysis underlines the importance of the CMB precision measurements that can
be viewed, to some extend, as complementary to the laboratory experimental
searches for supersymmetry or other BSM theories.
