Sandwich panels have been extensively used in engineering applications due to their light weight along with enhanced mechanical properties. Use of lattice metamaterial as core further enhances the specific mechanical properties and expands the design space in terms of the microstructural lattice core architecture. An emerging class of lattice metamaterials with curved microscale cell-wall geometry is proposed here as core for sandwich plates which would tailor the specific bending stiffness and expand the design space further with cell-wall curvature as added microstructural parameter. A finite element method based computational framework is developed within ANSYS workbench® for estimating the bending deformation and specific bending stiffness of the proposed novel class sandwich plates by modelling the curved lattice core as homogenized orthotropic material. The homogenized orthotropic properties of the curved lattice metamaterial are computed through an established unit cell based multi-scale mechanics framework which are fed into the finite element model. Influences of the expanded microstructural design space, together with macrostructural parameters including span-to-thickness ratio and boundary conditions, are systematically investigated on flexural deformation and specific bending stiffness. An auxetic curved lattice core consistently improves the dimensional bending stiffness over its straight counterpart, while all the proposed curved-core sandwich plates exhibit intermediate specific bending stiffness between solid monolithic and straight lattice-core plates, offering a balanced combination of lightweight characteristics, stiffness, and vibration absorption. The proposed novel sandwich plates with tailored bending stiffness along with the developed computational framework and the parametric investigations provides quantitative design guidelines for advanced multi-functional structures.