  A quasi-Gaussian quantum superposition of Ho\v{r}ava-Lifshitz (HL) stationary
states is built in order to describe the transition of the quantum cosmological
problem to the related classical dynamics. The obtained HL phase-space
superposed Wigner function and its associated Wigner currents describe the
conditions for the matching between classical and quantum phase-space
trajectories. The matching quantum superposition parameter is associated to the
total energy of the classical trajectory which, at the same time, drives the
engendered Wigner function to the classical stationary regime. Through the
analysis of the Wigner flows, the quantum fluctuations that distort the
classical regime can be quantified as a measure of (non)classicality. Finally,
the modifications to the Wigner currents due to the inclusion of perturbative
potentials are computed in the HL quantum cosmological context. In particular,
the inclusion of a cosmological constant provides complementary information
that allows for connecting the age of the Universe with the overall stiff
matter density profile.
