Gas-solid cyclone separators are widely employed within industrial contexts for the removal of particulate matter from gas streams. Recent research has unveiled the potential for enhancing cyclone performance by investigating the geometric implications of vortex finder (VF) configurations and inlet duct design. In this study, the influence of hyperboloid VF configurations and angled inlets on cyclone flow patterns and efficiency through a three-dimensional (3-D) computational fluid dynamics (CFD) methodology is examined. A high-turbulence flow has been modeled incorporating the Turbulence Reynolds Stress Model (RSM) in the commercial CFD software ANSYS Fluent. Dispersed phase particle trajectories and efficiency were computed by employing a Discrete Phase Model (DPM) based on the Lagrangian approach, with results closely aligned with experimental data for model validation. Cyclone performance was assessed in terms of pressure drop and separation efficiency across various geometric configurations. Our computational models revealed a tangential velocity range between 1.78 and 2.42 times the gas velocity at the inlet. Notably, hyperboloid-based designs demonstrated a remarkable 25.44% improvement in overall separation efficiency, while also experiencing a 16.95% increase in pressure drop compared to the base model. These findings clearly demonstrate the substantial improvement in cyclone performance achieved by the hyperboloid-based designs.