Complexation is of interest in pharmaceutical field, since it increases solubility and bioavailabilityof drugs. We want to perform a inelastic neutron scattering (INS) study, vs. T, of the vibrational dynamics of the inclusion complexes of beta-Cyclodextrin (beta-CyD) and its derivative sulfobutylether-beta-Cyclodextrin (SBE-beta-CyD) with Genistein, an antioxidant phytoestrogen, compared to single components and physical mixtures. The aim is to examine if and how the dynamics of the complexes in the ps-ns timescale is affected by the host-guest interactions, and to probe if there exists a relationship of this dynamics with the stability. The comparative analysis of will also allow to test the access offered by these two macrocycles to Genistein. The results are relevant to tailor the release of drugs with specific properties.