The development of cryogenic calorimeters to search for neutrinoless double-beta decay (0νDBD) has given in the last years increasingly promising results. In order to achieve a nearly background-free condition, scintillating crystals for 0νDBD have been developed. Thanks to the light-assisted particle discrimination, this technology demonstrated the complete rejection of the dominant alpha background. In addition, the possibility of achieving ton-scale exposures, maintaining an excellent energy resolution, lays the foundations for the CUPID project. CUPID is a next-generation experiment aiming to exploit 100Mo enriched scintillating Li2MoO4 crystals, operating as cryogenic calorimeters, to investigate the entire inverted hierarchy region for neutrino messes. Thanks to the high Qßβ of 100Mo and the α-discrimination, the CUPID goal is to achieve a background level in the region of interest of 10-4 counts/(keV kg yr). Although the 0νDBD is the main objective of CUPID, other processes are open to experimental investigation, particularly those inducing a distortion of the 2νDBD spectral shape. Given the relatively short half-life of 100Mo 2νDBD, we expect to reach unprecedented sensitivities in the search for 2νDBD beyond the Standard Model (bSM) induced distortions. In this poster, a general overview of the CUPID experiment will be given, as well as the sensitivity estimation for several bSM processes.