<p>Metamaterials and metastructures developed based on tubular origami-inspired structural forms can leverage the convolution of crease architecture and the mechanics of deformation therein to provide unique multi-functional properties. In the existing literature, the intriguing aspect of deformation mode coupling between the axial and twisting modes in different classes of origami tubes has not been explored adequately. Based on computational and experimental investigations, here we present novel exploitable insights on tunable axial-twist coupling behaviour in tubular origami metamaterials, including the aspect of programming Poynting effects as a function of triangulated crease architecture. We focus on exploring whether there can be twisting or axial deformation under the application of either axial or twisting far-field actuation in a compulsory or discretionary way, and the functional relationship to modulate such constitutive coupling through triangulated crease architecturing. The corresponding energy landscapes are investigated, revealing their stability behaviour and the prospect of crease-dependent tailoring of multi-stability.</p>