Backscatter from curved metallic surfaces coated with chiral layers is investigated. Here we examine canonical cylindrical and spherical geometries to understand basic scattering and absorption mechanisms, and to find the efficacy of chiral coatings in reducing radar cross-section. Of special interest is the combined effect of the degree of chirality and structure curvature on backscatter cross-section for lossy screens. The physical principles underlying the reduction of scattering are discussed, fundamental formulations are given, and relevant comparisons to the planar geometry case are noted. The backscatter cross-section for coated curved surfaces can be intelpreted as a modulation of chiral planar results by achiral structural resonances.