  We investigate the integrable aspects of the planar $\gamma$-deformed ABJM
theory and propose the twisted asymptotic Bethe ansatz equations. A more
general method through a twisted generating functional is discussed, based on
which, the asymptotic large L solution of Y-system is modified in order to
match the asymptotic Bethe ansatz equations. Several applications of our method
were made in the $sl(2)$-like sector and some important examples in
$\beta$-deformed ABJM are presented as well.
