An analysis about the backscattering characteristics of a metamaterial coated magnetodielectric sphere covered with a metasurface has been presented. The effects of various types of metamaterial coatings and surface reactances of lossless metasurface upon the backscattering cross-section of a metamaterial coated magnetodielectric sphere covered with a metasurface have been studied. It is shown that the negligible backscattering cross-section from a double near-zero metamaterial coated magnetodielectric sphere can be enhanced significantly by using specific types of lossless metasurfaces. These types of enhanced backscattering cross-section find applications in the radar detection problems. The proposed theory is also extended to the lossy double negative metamaterial coated magnetodielectric sphere covered with a lossless metasurface. During the study, it is found that for a specific part of the lossy double negative metamaterial bandwidth, two specific types of lossless metasurfaces can be used to reduce the backscattering cross-section as compared to the backscattering cross-section of a lossy double negative metamaterial coated magnetodielectric sphere without metasurface.