Minisuperspace Quantum Cosmology is an approach by which it possible to infer initial conditions for dynamical systems can suitably represent observable and non-observable universes. Here we discuss theories of gravity which, from various points view, extend Einstein’s General Relativity. Specifically, the Hamiltonian formalism f(R), f(T), f(G) gravity, with R, T, G being curvature, torsion Gau...