  In this work we investigate which Loop Quantum Cosmology corrected
Gauss-Bonnet $F(\mathcal{G})$ gravity can realize two singular cosmological
scenarios, the intermediate inflation and the singular bounce scenarios. The
intermediate inflation scenario has a Type III sudden singularity at $t=0$,
while the singular bounce has a soft Type IV singularity. By using perturbative
techniques, we find the holonomy corrected $F(\mathcal{G})$ gravities that
generate at leading order the aforementioned cosmologies and we also argue that
the effect of the holonomy corrections is minor to the power spectrum of the
primordial curvature perturbations of the classical theory.
