  Considering as usual that the underlying geometry of our universe is well
described by the spatially flat Friedmann-Lemaitre-Robertson-Walker line
element, we review how the background of holonomy corrected Loop Quantum
Cosmology (LQC) could be obtained as a simple modified version of the mimetic
gravity. We also analyze the scalar and tensor perturbations of this modified
mimetic model, from which we find that at the level of tensor perturbations it
is indistinguishable from General Relativity while at the level of scalar
perturbations, the modified mimetic model, which has the same background as
LQC, does not exhibit the same properties as LQC in the so-called deformed
algebra approach.
