  Starting from the generalized Raychaudhuri equation with torsion and
non-metricity, and considering an FLRW spacetime we derive the most general
form of acceleration equation in the presence of torsion and non-metricity.
That is we derive the cosmic acceleration equation when the nonRiemannian
degrees of freedom are also taken into account. We then discuss some conditions
under which torsion and non-metricity accelerate/decelerate the expansion rate
of the Universe.
