A parametric two-photon process, involving stimulated emission of two cascaded photons from a bidoped poled material placed inside an optically pumped cavity, is proposed and assessed within the priming photon scheme. We show that, with a specific level configuration for the two dopants A and B, and an appropriate cavity design, stimulated emission from dopant A can provide the priming photons for stimulated two-photon emission from dopant B through a parametric biphotonic cascade. We discuss how this process is driven by a ratchet effect introduced by the simultaneous breakdown of both the space and time inversion symmetries. The optical Stark shifts are shown to considerably impact the efficiency of such a cascaded two-photon process.