The isotropic and anisotropic Raman spectra of HCl diluted in liquid SF6 have been analyzed and compared with available experimental data. The theoretical profiles have been calculated with a non-Markovian spectral theory in which the statistical parameters of the isotropic and the anisotropic interaction were obtained from a microscopic extended cell model for the liquid. Memory and interference effects are qualitatively and quantitatively analyzed in terms of the time scales involved in the Raman spectra. A detailed study of intrabranch, interbranch, and cancellation mixing effects is carried out together with the analysis of the contribution of the different relaxation channels.