This paper deals with the evolution of longitudinal wakefields generated behind two-color asymmetric laser pulses through homogeneous plasma, using numerical model. The two laser pulses are linearly polarized and are assumed to have frequency difference equal to the plasma frequency. Laser pulses are either positively skewed or negatively skewed with respective asymmetric parameters. Combinations of asymmetric parameters are varied for two laser pulses to optimize the amplitude of wakefield. Maximum enhancement of wake amplitude is reported when both asymmetric laser pulses are positively skewed. Further, particle-in-cell simulations have been performed using Vsim code. The simulation study validates the results obtained wakefields obtained are via numerical model.