  We have assumed FRW model of the universe in Einstein-Aether gravity filled
with dark matter and Modified Chaplygin gas (MCG) type dark energy. We present
the Hubble parameter in terms of some unknown parameters and observational
parameters with the redshift z. From observed Hubble data (OHD) set (12
points), we have obtained the bounds of the arbitrary parameters (A,B) of MCG
by minimizing the \chi^{2} test. Next due to joint analysis of BAO and CMB
observations, we have also obtained the best fit values and the bounds of the
parameters (A,B) by fixing some other parameters. We have also taken type Ia
supernovae data set (union 2 data set with 557 data points). Next due to joint
analysis with SNe, we have obtained the best fit values of parameters. The
best-fit values and bounds of the parameters are obtained by 66%, 90% and 99%
confidence levels for OHD, OHD+BAO, OHD+BAO+CMB and OHD+BAO+CMB+SNe joint
analysis. The distance modulus \mu(z) against redshift z for our theoretical
MCG model in Einstein-Aether gravity have been tested for the best fit values
of the parameters and the observed SNe Ia union2 data sample.
