A propagator matrix approach for cylindrical structures is applied to solve scattering problems featuring inhomogeneous bianisotropic media, The involved propagator matrix, which describes the relation between the transverse fields at the two boundaries of an inhomogeneous cylindrical layer, is obtained by utilizing Fourier series expansions for fields as well as material parameter functions. The presented formalism is capable of analyzing the scattering of plane waves which are obliquely incident on an impedance cylinder that is covered with an inhomogeneous bianisotropic layer, We provide typical examples showing the applicability of the method.