  We analytically derive the covariant form of the Riemann (curvature) tensor
for homogeneous Metric-Affine Cosmologies. That is, we present, in a
Cosmological setting, the most general covariant form of the full Riemann
tensor including also its non-Riemannian pieces which are associated to
spacetime torsion and non-metricity. Having done so we also compute a list of
the curvature tensor by-products such as Ricci tensor, homothetic curvature,
Ricci scalar, Einstein tensor etc. Finally we derive the generalized
Metric-Affine version of the usual Gauss-Bonnet density in this background and
demonstrate how under certain circumstances the latter represents a total
derivative term.
