  Generalized transverse momentum dependent parton distributions (GTMDs), as
mother funtions of transverse momentum dependent parton distributions (TMDs)
and generalized parton distributions (GPDs), encode the most general parton
structure of hadrons. We calculate four twist-two time reversal odd GTMDs of
pion in a scalar spectator model. We study the dependence of GTMDs on the
longitudinal momentum fraction $x$ carried by the active quark and the
transverse momentum $|\vec k_T|$ for different values of skewness $\xi$ defined
as the longitudinal momentum transferred to the proton as well as the total
momentum $|\vec\Delta_T|$ transferred to the proton. In addition, the
quasi-TMDs and quasi-GPDs of pion have also been investigated in this paper.
