  Consider a Leibniz superalgebra $\mathfrak L$ additionally graded by an
arbitrary set $I$ (set grading). We show that $\mathfrak L$ decomposes as the
sum of well-described graded ideals plus (maybe) a suitable linear subspace. In
the case of ${\mathfrak L}$ being of maximal length, the simplicity of
${\mathfrak L}$ is also characterized in terms of connections.
