The newly synthesized strontium doped $R{\mathrm{NiO}}_{2}$ ($R$=Nd, Pr, and La) superconductors have stimulated extensive interests in understanding their pairing mechanism nature. Here we study the this family from a two-orbital model comprising Ni- $3{d}_{{x}^{2}\ensuremath{-}{y}^{2}}$ $3{d}_{xy}$ orbitals, equipped with extended Hubbard interactions induced low-energy effective superexchang...