  Assuming the flat FRW universe in Einstein's gravity filled with New Variable
Modified Chaplygin gas (NVMCG) dark energy and dark matter having negligible
pressure. In this research work we analyze the viability on the basis of recent
observation. Hubble parameter $H$ is expressed in terms of the observable
parameters $H_0$, $\Omega_m^0$ and the model parameters $A_0$, $B_0$, $C_0$,
$m$, $n$, $\alpha$ and the red shift parameter $z$. Here we find a best fitted
parameter range of $A_0$, $B_0$ keeping $0\leq \alpha \leq 1$ and using Stern
data set (12 points) by minimizing the $\chi^2$ test at 66%, 90% and 99%
confidence levels. Next we do the joint analysis with BAO and CMB observations.
Again evaluating the distance modulus $\mu(z)$ vs redshift ($z$) curve obtained
in the model NVMCG with dark matter with the best fitted value of the
parameters and comparing with that derived from the union2 compilation data.
