This paper presents a noncommutative (NC) version of an extended S\'{a}ez-Ballester (SB) theory. Concretely, considering the spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker~(FLRW) metric, we propose appropriate dynamical deformation between conjugate momenta and applying Hamiltonian formalism, obtain deformed equations motion. In our model, NC parameter appears linearly in Poisson brack...