  We present a calculation of the twist-3 T-odd chiral-even fragmentation
functions $G^{\perp}$ and $\tilde{G}^{\perp}$ using a spectator model. We
consider the effect gluon exchange to calculate all necessary one-loop diagrams
for the quark-quark and quark-gluon-quark correlation functions. We find that
the gluon loops corrections generate non-zero contribution to these two
fragmentation function. We numerically calculate their half-$k_T$ moments by
integrating over the transverse momentum and also verify the equation of motion
relation among $G^{\perp}$, $\tilde{G}^{\perp}$ and the Collins function.
