We present the application of a family of hybrid Discontinuous Galerkin/ Finite Volume (DG/FV) methods for the solution of multi-species problems involving gas-gas and gas-liquid systems, and using a five-equation interface capturing model. The numerical scheme achieves higher accuracy in smooth flow regions thanks to the DG discretisation, yet avoiding oscillations at material interfaces and shocks thanks to a CWENOZ FV type reconstruction of the same discretisation order of the underlying DG method. This strategy, as typically represented in literature, make use of the so-called troubled cell
indicators for the detection of numerical oscillations generated by an unlimited high-order scheme in presence of discontinuities, enabling in the troubled cells only, a more dissipative scheme in order to suppress spurious oscillations. As will be shown in a series of increasingly challenging test-cases, when applied to multi-species flows in the context of diffuse-interface models, the hybrid framework is able to limit the excessive material interface dissipation, characteristic of these interface-capturing methods, allowing at the same time a control over the amount of dissipation necessary to solve stiffer problems. The implementation is performed in the UCNS3D open-source CFD solver.