  We prove boundedness of global strong $(\delta,n)$-complements for
generalized $\epsilon$-log canonical pairs of Fano type. We also prove some
partial results towards boundedness of local strong $(\delta,n)$-complements
for semi-stable morphisms. As applications, we prove an effective generalized
canonical bundle formula for generalized klt pairs and an effective generalized
adjunction formula for exceptional generalized log canonical centers. Moreover,
we prove that the existence of strong $(\delta,n)$-complements implies a
conjecture due to M$^{\rm c}$Kernan concerning the singularities of the base of
a Mori fiber space.
