In this contribution the generalized exponential matrix technique in spectral domain is adopted for investigating the combined effects of chiral operation in some multilayered bianisotropic substrates, and the mathematical treatment accounts for the most generalized bianisotropic linear media characterized by four 3 x 3 constitutive tensors. Such chiral operation can be realized artificially using a certain number of bianisotropic biaxial or Faraday chiral plates in order that double or three chiralities are formed. Numerical results are presented to demonstrate the influences of changing different variables associated with the reversing of the sign of chirality parameter : the right-and left-handed spiral orientations of the axes of four constitutive tensors as well as the biasing magnetic fields in chiroferrite and chiroplasma substrates on the co- and cross-polarized far-field distribution of a dipole antenna. Some unique relations concerning the main beam direction and the co- and cross-polarized components of the far-field are found and discussed.