The present paper concerns a numerical benchmark of various turbulence ă modelings, from RANS to LES, applied to Taylor-Couette-Poiseuille flows ă in a narrow gap cavity for six different combinations of rotational and ă axial Reynolds numbers. Two sets of refined Large-Eddy Simulation ă results, using the WALE and the Dynamic Smagorinsky subgrid scale models ă available within an in-house code based on high-order compact schemes, ă hold for reference data. The efficiency of a RANS model, the Elliptic ă Blending Reynolds Stress Model (EB-RSM) [1], and a hybrid RANS/LES ă method, the so-called ``Equivalent DES'' [2], both run with Code ă Saturne, is then questioned. Thin coherent structures appearing as ă negative (resp. positive) spiral rolls are obtained by the LES but also ă the hybrid RANS/LES along the rotor (resp. stator) sides. More ă quantitatively, the hybrid RANS/LES does not improve the predictions of ă the EB-RSM for both the mean and turbulent fields, stressing the need ă for further theoretical development.