The expression of gains is derived from the coherently coupled nonlinear Schrdinger (NLS) equation in consideration of Raman effect when two laser pulses with different wavelengths are emitted into birefringent photonic crystal fiber along two polarization axes. The result shows the symmetry of gain spectrum is damaged compared with no consideration of Raman effect by numerical simulation. The gain spectrum is broaden and gain peak is reduced with higher-order dispersion increasing when two polarization modes are in the normal dispersion and anomalous dispersion regions. The gain spectrum is not obvious influenced by the higher-order dispersion when two polarization modes are in different dispersion regions. The result also shows that the two polarization mode dispersion coefficients majorly impact on Stokes and anti-Stokes of the gain spectrum, respectively.