  This paper has studied five-dimensional FRW cosmological models for
k=-1,0,1in the presence of two perfect fluids namely ordinary baryonic fluid
and a bizarre creating dark energy within the framework of Lyra's manifold
(Lyra 1951). We have obtained the exact solution of the equation assuming the
parametrization of the Hubble parameter and the relation between metric
coefficients. They lead to the shift from the past decelerating universe to the
current accelerating universe in a time-dependent deceleration parameter. We
have also constrained our proposed model parameters with 46 observational
Hubble datasets. Numerous cosmological parameters have been examined about the
universe's history. As such, our model can be considered a realistic one.
