Interaction of two Airy-Gaussian beams in a one-dimensional nonlocal nonlinear defected lattice is numerically studied, and the effects of the nonlinear non-local properties, lattice properties, beam properties, beam incidence angle, and phase difference between the two beams on the experimental results are discussed. It is found that the interaction of two Airy-Gaussian beams under different conditions forms lattice solitons, quasi-breaths, and even lattice solitons. In most cases, the quasi-breaths are observed, and their spatial size and period are affected by nonlocal nonlinearity, lattice defects, and light self-acceleration. When phase difference exists between the two incident Airy-Gaussian beams, the interaction in the lattice will form a soliton pair, with one soliton transmitting vertically and the other soliton transmitting diagonally.