In this paper, we consider the framework of the newly proposed modified theory of gravity named f (R , A) gravity, wherein R and A signify the Ricci and anticurvature scalars, respectively. For our cosmic discussions, we evaluate a renowned f (R , A) model, incorporating various forms of the scale factor within the context of Friedmann–Robertson–Walker (FRW) spacetime. Our exploration delves into energy conditions, the effective equation of state parameter and the stability of models within the f (R , A) theory. These models are further elucidated through graphical representations plotted against time and their respective model constants. Notably, it is observed that scale factors with exponential terms yield more consistent results in comparison to those of power-law forms, given specific values of model constants. [ABSTRACT FROM AUTHOR]