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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-motivatedreconstruction scheme for flat FRW geometry. The beauty of this scheme lies inthe assumption that the Hubble parameter can be expressed in terms of scalarfield and vice versa. Firstly, we develop field equations in this gravity andpresent some general explicit forms of scalar field potential via thistechnique. In the first case, we take De Sitter universe model and constructsome field potentials by taking different cases for coupling function. In thesecond case, we derive some field potentials using power law model in thepresence of different matter sources like barotropic fluid, cosmologicalconstant and Chaplygin gas for some coupling functions. From graphicalanalysis, it is concluded that using some specific values of the involvedparameters, the reconstructed scalar field potentials are cosmologically viablein both cases.

Reconstruction of Scalar Potentials in $f(R,R_{\alpha\beta} R^{\alpha\beta},\phi)$ theory of gravity