The current numerical research examines the role of wake amplitude on the underlying flow characteristics of the separation-induced transition and vorticity dynamics inside a T106A low-pressure turbine (LPT) blade passage. The study solves the two-dimensional (2D) compressible Navier-Stokes equations (NSE) using highly accurate compact schemes that satisfy the numerical dispersion relation. Four wake amplitudes, ranging from 0.20 to 0.80, are imposed at the inflow to explore the role of unsteady wakes on the flow separation on the suction surface. A periodic Gaussian wake, with a specified time period of wake passing and width of the Gaussian profile, is imposed at the inflow. The emergence and evolution of unsteady separation bubbles along the suction surface of the T106A blade are analyzed, revealing an increasing trend with wake amplitude. An overall increase in turbulent mixing is observed with increasing wake amplitude, leading to a thicker boundary layer on the suction surface. By applying the compressible enstrophy transport equation (CETE) to the T106A blade passage, the study explores the enstrophy dynamics in the flow. It reveals that the wake amplitude primarily affects the baroclinic vorticity and viscous terms of the CETE budget, with the highest contribution from the term due to viscous stresses, followed by baroclinic vorticity generation in the early stages of disturbance evolution. Other terms of the CETE budget show a nuanced dependency on the wake amplitude, paving the way for future investigations into the role of unsteady wakes on enstrophy dynamics.