Abstract
We present cosmological models with modified Chaplygin gas (MCG) in the framework of Horava-Lifshitz (HL) theory of gravity. The equation of state (EOS) for a MCG is a three-variable equation determined by $A$, $\ensuremath{\alpha}$, $B$. The allowed values of these parameters of the EOS are determined using the recent astrophysical and cosmological observational data. For this we consider $H(z)\ensuremath{-}z$, BAO peak, CMB shift parameter data to obtain a suitable range of values of the parameters for a viable cosmological model. Considering the suitable range of effective neutrino parameter ($\ensuremath{\Delta}{N}_{\ensuremath{\nu}}$), the ranges of values of the B-parameter along with ${A}_{S}$ (defined by $A$, $\ensuremath{\alpha}$, and $B$) and $\ensuremath{\alpha}$ are determined here by chi-square minimization.
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