  Supersymmetric composite generalized quantum integrable models solvable by
the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of
monodromy matrix elements and their action on Bethe vectors, formulas for Bethe
vectors in the composite models with supersymmetry based on the super-Yangians
$Y[\mathfrak{gl}(2|1)]$ and $Y[\mathfrak{gl}(1|2)]$ are derived.
