  The purpose of this paper is to generalize to $\mathbb{Z}_2$-graded case the
study of Hom-Lie bialgebras which were discussed first by D. Yau, then by C.
Bai and Y. Sheng. We provide different ways for constructing Hom-Lie
superbialgebras. Also we define Matched pairs, Manin supertriples and discuss
their relationships. Moreover, we study coboundary and triangular Hom-Lie
bialgebras, as well as infinitesimal deformations of the cobracket.
