<p>This study investigates the effects of slip velocity, magnetohydrodynamics (MHD) and couple stress fluids on squeeze film lubrication in bearings, an area with limited research. It investigates how these factors, alongside surface roughness, impact lubrication performance in a two-dimensional non-parallel squeeze film bearing. Notably, this is the first study to apply the homogenization method to model anisotropic surface roughness effects. Using homogenization theory and Stokes theory, the research develops a homogenized MHD Reynolds equation, which is solved numerically to calculate load capacity and squeeze time. Findings indicate that slip velocity, couple stress fluid, and MHD all improve load capacity and extend squeeze film time. Surface roughness has varying effects: Transverse roughness enhances lubrication, while longitudinal roughness reduces performance. Anisotropic roughness surfaces outperform smooth surfaces, particularly at low film thicknesses. This work is novel in both its comparative analysis of different surface roughness types and its inclusion of slip velocity in MHD non-Newtonian squeeze film lubrication.</p>