  In this paper, we explore the nature of scalar field potential in $f(R,
R_{\alpha\beta} R^{\alpha\beta},\phi)$ gravity using a well-motivated
reconstruction scheme for flat FRW geometry. The beauty of this scheme lies in
the assumption that the Hubble parameter can be expressed in terms of scalar
field and vice versa. Firstly, we develop field equations in this gravity and
present some general explicit forms of scalar field potential via this
technique. In the first case, we take De Sitter universe model and construct
some field potentials by taking different cases for coupling function. In the
second case, we derive some field potentials using power law model in the
presence of different matter sources like barotropic fluid, cosmological
constant and Chaplygin gas for some coupling functions. From graphical
analysis, it is concluded that using some specific values of the involved
parameters, the reconstructed scalar field potentials are cosmologically viable
in both cases.
