The phase changes of 1-palmitoyl-$d_{31}$-2-oleoyl-sn-glycero-3-phosphatidylcholine (POPC_$d_{31}$) bilayers distorted by an antimicrobial peptide, a magainin 2 or an aurein 3.3 were investigated by using $^2H$ solid-state NMR (SSNMR) spectroscopy. From the theoretical simulation of the experimental $^2H$ solid-state NMR spectra the geometric structure constants and the lateral diffusion coefficients were obtained in the peptide-lipid mixture phases. Within five days of the peptide action on the lipid bilayers only the distorted alignment of the bilayers were measured but after 100 days an elliptic toroidal pore structure and an inverted hexagonal phase were formed in the presence of magainin 2 and aurein 3.3, respectively. In order to investigate the effect of an anionic lipid molecule on the actions of two peptides on the lipid bilayer, the same experiments were performed on the POPC_$d_{31}$/1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidylglycerol (POPG) bilayer and the significant differences in the actions of two peptides on two bilayers of POPC_$d_{31}$ and POPC_$d_{31}$/POPG were measured.