<p>In recent years, the development and application of micro/nanoscale structures have underscored the importance of understanding material behavior at this scale, particularly in the context of smart materials, including flexoelectric materials. This paper integrates modified strain gradient theory with the Green-Lindsay (GL) model to derive the structural equations and the thermal conductivity equation for a flexoelectric microlayer, incorporating the fundamental assumptions of both theories. The purpose of this paper is to develop the generalized flexothermoelasticity formulation to investigate the electro-thermoelasticity behavior of a microstructure. The finite element method was employed to solve the equations in the spatial domain, while the Wilson method was utilized for the numerical solution of the time-dependent equations. To validate the results, various loads were applied to the felexoelectric microlayer, and the numerical values obtained for different variables were presented graphically. The findings of this research were compared with results from existing literature, demonstrating the high accuracy and precision of this theoretical framework. Numerical results show that by applying the external loads, thermal, elastic, and electrically waves propagate at a limited speed. </p>