Recently, we proposed the microscopic structure and reaction models. The model firstly constructs the nuclear structure by the stochastic multi-configuration mixing (SMCM) method based on the cluster model. Next, the cross section is obtained by the microscopic coupled-channel (MCC) calculation based on the folding model with the complex G-matrix interaction. In this work, we compare the $^{9}$Li nucleus with the $^{10}$Be nucleus from the viewpoint of the nuclear structure and reaction. The $^{9}$Li ($^{10}$Be) nucleus is described as an $\alpha$ + $t$ ($\alpha$) + $n$ + $n$ four-body system based on the cluster model. The elastic and inelastic scattering cross sections for the $^{9}$Li + $^{12}$C and $^{10}$Be + $^{12}$C systems are obtained by the MCC calculation with the MPa interaction which is the latest version of the complex G-matrix interaction derived from the ESC nucleon-nucleon interaction model. The excitation energies of the low-lying states for the $^{9}$Li and $^{10}$Be nuclei well reproduce the data. The MCC model including the excitation effect of the projectile and target shows the visible channel coupling effect on the elastic cross section. The contribution of the $^{10}$Be excitation effect is clearly larger than that of the $^{9}$Li excitation effect.