A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincaré algebra is presented. The -extended Poincaré supergravity is obtained by expanding the super Lorentz theory. We extend our procedure to their respective asymptotic symmetries and show that the super-BMS3 appear as expansions of one Virasoro superalgebra. Interestingly, the -extended super-BMS3 obtained here are not only centrally extended but also endowed with internal symmetry. We also show that the -extended super Poincaré algebras with both central and automorphism generators are finite subalgebras.