Detailed study on the inverse processes of photoionization and electron-ion recombination for NaIX+h{nu}NaX+e, NaX+h{nu}NaXI+e, MgX+h{nu}Mg{nu}+e, and MgXI+h{nu}MgXII+e is reported. The unified method for the total electron-ion recombination is used for the self-consistent results of total and level-specific recombination rate coefficients {alpha}R and {alpha}R(i) (subsuming both radiative recombination [RR] and dielectronic recombination [DR]), total recombination cross sections {sigma}RC, and total and partial level-specific photoionzation cross sections {sigma}PI and {sigma}PI(g). The total recombination spectrum of cross sections and recombination rates versus photoelectron energy are presented for experimental applications. The unified method employs close-coupling approximation in the relativistic Breit-Pauli R-matrix (BPRM) method. The coupled channel wave function expansions for Li-like NaIX and MgX consist of 17 core levels with excitations up to 3d orbital and for He-like NaX and MgXI consist of 16 core levels of excitations up to 4f orbital, respectively. The results are presented for all fine-structure levels of the ions up to n<=10, which correspond to 98 levels with 1/2<=J<=17/2 for Li-like NaIX and MgX, 182 and 185 levels with 0<=J<=10 for He-like NaX and MgXI, respectively. The level specific photoionization cross sections {sigma}PI(nSLJ) and recombination rates {alpha}R(T; nSLJ) are obtained for the first time for these ions. The single-valued total {alpha}R(T) is presented over an extended temperature range for astrophysical and laboratory plasma applications. The total unified R(T) for all ions agrees very well with the available published RR and DR rates. Total recombination rates for H-like NaXI and MgXII are also presented for completeness. The results are expected to be accurate within 10%15% from considerations of important atomic effects such as radiation damping, channel couplings, and interference of DR and RR. The comprehensive data sets are applicable for ionization balance and recombination-cascade models for UV and X-ray lines.