The theory of the recently discovered interferometric coherent Raman spectroscopy (ICRS) is extended to explicitly include terms resulting from non-resonant contributions to the overall non-linear susceptibility. The derived expression is applicable to both interferometric coherent antiStokes Raman spectroscopy (ICARS) and interfere metric coherent Stokes Raman spectroscopy (ICSRS) and can be applied to both neat solutions and binary mixtures. It is shown that the total description of ICRS must include a resonant term, a non-resonant term and a resonant-non-resonant cross-term, each of which exhibits analytically unique behavior in time-domain ICRS experiments. From the complete expression one can extract relative strengths of the resonant and non-resonant molecular hyperpolarizabilities. Resonant hyperpolarizabilities thus obtained may be used to determine absolute Raman cross-sections, without making absolute measurements. Conversely, for a sample for which the absolute Raman cross-section is independently known, one can determine the value of the non-resonant hyperpolarizability.