  The present study deals with a flat FRW cosmological model filled with
perfect fluid coupled with the zero-mass scalar field in the higher derivative
theory of gravity. We have obtained two types of universe models, the first one
is the accelerating universe (power-law cosmology) and the second one is the
transit phase model (hyperbolic expansion-law). We have obtained various
physical and kinematic parameters and discussed them with observationally
constrained values of $H_{0}$. The transit redshift value is obtained
$z_{t}=0.414$ where the transit model shows signature-flipping and is
consistent with recent observations. In our models, the present values of EoS
parameter $\omega_{0}$ crosses the cosmological constant value $\omega_{0}=-1$.
Also, the present age of the universe is calculated.
