  We study FLRW cosmology, taking into account quantum gravitational
corrections in the formalism of the exact renormalization group flow of the
effective action for gravity. We calculate the quantum corrected scale factor,
energy density, and entropy production at late times, taking different cut-off
functions. Our approach differs from previous ones in the way energy-momentum
conservation is imposed -- we include the running Newton constant $G(k)$ in the
definition of energy-momentum tensor, keeping in mind the covariant
conservation identity of the Einstein tensor. The quantum corrections obtained
in this approach are different from what are found by letting the conservation
equation remain the same as for a scale-independent Newton constant. We also
find that for a specific choice of the cut-off scale, the quantum corrected
behaviour of the Newton constant and the cosmological constant lead to a
bouncing emergent universe solution.
