We theoretically demonstrate the phase regeneration of the star-16-quadrature-amplitude-modulation(star-16QAM) signal in a graphene-graphene oxide hybrid waveguide. The multi-order dispersion properties of this waveguide are tuned by graphene, where the near-zero-dispersion-point moves to right with increasing applied electrochemistry. The waveguide nonlinearity coefficient is 1.534 x 106/m/W and the dispersion is flat in the ultra-wide wavelength range of 1310 nm to 1860 nm by filling the waveguide with the high kerr coefficient organic material graphene oxide. The phase regeneration of the star-16QAM signal is achieved by using a dual-conjugate-pump degenerate four-wave mixing (FWM) technique, and the results show that the error-vector-magnitude (EVM) is reduced from 39.25% to 2.14%, the phase noise is effectively compressed.