<p>The current study presents a significant advancement in the elastic bending analysis of hybrid composite sandwich curved beams with re-entrant auxetic cores by introducing a general beam model that more accurately reflects straight and curved beams. The main contribution of this study is the use of a computationally efficient 2D higher-order shear deformation theory without thickness-stretching effects, that develops a reduced kinematic representation through integral expressions of the three displacement variables for the mechanical analysis of hybrid sandwich curved beam with FG face sheets and re-entrant auxetic core. In this study, a new configuration of curved sandwich beam structures with a re-entrant auxetic honeycomb core is presented. In which the negative Poisson’s ratio behavior, promotes transverse expansion during axial extension, providing enhanced mechanical performance compared with traditional sandwich beam systems with core materials that have a positive Poisson’s ratio, while the virtual work principle is used to obtain the equilibrium governing equations. A closed-form solution is used to determine the transverse and axial displacements and internal forces of the composite sandwich beams. The accuracy and strength of the proposed mathematical model were validated through a comparison study with existing numerical results. A detailed parametric study was conducted to examine the effects of different parameters, including material gradation, length-to-thickness ratio, sandwich configuration schemes, and geometric properties of the auxetic core, on the bending behavior of curved beams. The numerical results provide new insights into the elastic bending characteristics of hybrid sandwich beams with re-entrant auxetic cores, highlighting the signif<i>i</i>cant role of auxetic cores in the bending behavior of curved beams.</p>