The scattering of cylindrical waves by a chiral-coated cylindrical reflector placed in chiral background has been investigated using numerical simulations. The expressions for electric and magnetic fields inside the chiral coating and in the chiral background have been derived using the wavefield decomposition approach. It is postulated that the scattering gain can be controlled by varying the cylindrical wave source location, thickness of coating, chirality of coating, and chirality of background medium. It is shown that by increasing the chirality of coating for a chiral-coated cylindrical reflector placed in free space, the scattering gain in the forward direction increases, whereas the scattering gain in the backward direction decreases. It is further asserted that a strong chiral-coated cylindrical reflector placed in a certain chiral background guides most of the scattered field toward the rear side of the reflector. It is also observed that the scattering gain pattern becomes isotropic provided the chiral, strong chiral, and chiral nihility coated cylindrical reflectors are placed in a chiral nihility background. A cloaking phenomenon associated with a chiral-coated reflector placed in a chiral background at a specific observation angle is also discussed.