Mechanisms are of the prime consideration while running the machines. Therefore the synthesis of mechanisms will be the key factor in the mechanical design. Synthesis becomes comparatively easy when the mechanism is of single degrees of freedom (DOF) and will be difficult as the number of DOF increases. There are many methods used for the synthesis of mechanisms with more links and with two or higher degrees-of-freedom that are complicated and prolonged. These complicated/ higher DOF mechanisms can be easily synthesized by converting them into Variable Topology Mechanism (VTM) which operates in multi phases. The present proposed work has an application of VTM in the Automatic Fiber Replacement Mechanism and is operating in two phases and for extreme positions. This reduces the solution space for function generation, path generation and rigid body guidance/ motion generation tasks with no iterations.