  In this work we present a brief discussion about modified and extended
cosmological models using current observational tests. We show that according
to these astrophysical samples based in late universe measurements, theories
like $f(R)$ and $f(T,B)$ can provide useful interpretation to a dynamical dark
energy. At this stage, precision cosmostatistics has also become a
well-motivated endeavour by itself to test gravitational physics at cosmic
scales and these analyses can be employed to test the viability and future
constrains over specific cosmological models of these theories of gravity,
making them a good approach to propose an alternative path from the standard
$\Lambda$CDM scenario.
