This paper presents a 3D variable fractional order discrete (FOD) memristor coupled Duffing map with hidden dynamics and short memory. The aim of this study is to gain new insights into the behavior of fractional-order discrete memristor systems by incorporating the concepts of variable order and short memory. The map is constructed by integrating the Caputo-like difference operator, where the fractional order is defined using a constant function. Analysis shows that, within certain parameter ranges, the system lacks equilibrium points and exhibits hidden dynamics. Additionally, the dynamical properties of the novel fractional map are explored using Lyapunov exponents, which reveals that the variable FOD memristor based Duffing map demonstrates more complex behavior compared to its corresponding constant order version. The fractional map is characterized by several unique features, including the presence of multiple hidden chaotic attractors. Furthermore, the novel variable-order fractional map, introduced by the sinusoidal memristor, can generate homogeneous coexisting attractors.