  Based on the assumptions of the standard model of cosmology, a phase
transition associated with chiral symmetry breaking after the electroweak
transition has occurred at approximately $10\mu$ seconds after the Big Bang to
convert a plasma of free quarks and gluons into hadrons. We consider such a
phase transition in the context of a deformed Horava-Lifshitz cosmology. The
Friedmann equation for the deformed Horava-Lifshitz universe is obtained using
the entropic interpretation of gravity, proposed by Verlinde. We investigate
the effects of the parameter $\omega$ appearing in the theory on the evolution
of the physical quantities relevant to a description of the early universe,
namely, the energy density and temperature before, during and after the phase
transition. Finally, we study the cross-over phase transition in both high and
low temperature regions in view of the recent lattice QCD simulations data.
