Based on the division Fourier algorithm and the rapid virtual time evolution (AITEM) iterative method, the transmission characteristics of bullet in linear and nonlinear scattering out of phase modulation Kummer-Gauss optical lattice are studied. The results show that the linear and nonlinear phase modulation significantly change the bullet shape and its range of stability, and the nonlinear modulation depth through the propagation constant controls the stability region width. It is shown that stable space-time soliton energy will grow with nonlinear modulation depth strengthening.