  In this paper, we investigate the effects of a new version of the generalized
uncertainty principle (modified GUP) on the dynamics of the Universe. As the
modified GUP will modify the relation between the entropy and area of the
apparent horizon, it will also deform the Friedmann equations within Jacobson's
approach. We explicitly find these deformed Friedmann equations governing the
modified GUP-corrected dynamics of such a Universe. It is shown that the
modified GUP-deformed Jacobson's approach implies an upper bound for the
density of such a Universe. The Big Bang singularity can therefore also be
avoided using the modified GUP-corrections to horizons' thermodynamics. In
fact, we are able to analyze the pre Big Bang state of the Universe.
Furthermore, the equations imply that the expansion of the Universe will come
to a halt and then will immediately be followed by a contracting phase. When
the equations are extrapolated beyond the maximum rate of contraction, a cyclic
Universe scenario emerges.
