  Based on Wheeler-DeWitt equation derived from general relativity, it had been
found that only dark energy can lead to a normalizable cosmological wave
function. It is shown in the present work that, for dRGT gravity,
Eddington-inspired-Born-Infeld gravity and Ho$\check{\text{r}}$ava-Lifshitz
gravity, the previous conclusion can also stand well in quantum cosmology
induced from these modified gravities. This observation implies that there
might be a universal relation between dark energy and normalizability of the
cosmological wave function.
