  We prove that the asymptotic base loci of an NQC klt generalized pair with
big canonical class are uniruled. We also show that the non-nef locus and the
diminished base locus of the adjoint divisor of an NQC log canonical
generalized pair coincide. As applications, we study the uniruledness of the
asymptotic base loci associated with pseudo-effective divisors on generalized
log Calabi-Yau type varieties.
