  Taking into account the effect of final state interaction, we calculate the
non-zero (na\"{i}ve) $T$-odd transverse momentum dependent distribution
$h_1^{\perp}(x,\kp^2)$ of the pion in a quark-spectator-antiquark model with
effective pion-quark-antiquark coupling as a dipole form factor. Using the
model result we estimate the $\cos 2\phi$ asymmetries in the unpolarized $\pi^-
N$ Drell-Yan process which can be expressed as
$h_1^{\perp}\times\bar{h}_1^{\perp}$. We find that the resulting
$h_{1\pi}^\p(x,\kp^2)$ has the advantage to reproduce the asymmetry that agrees
with the experimental data measured by NA10 Collaboration. We estimate the
$\cos2\phi$ asymmetries averaged over the kinematics of NA10 experiments for
140, 194 and 286 GeV $\pi^-$ beam and compare them with relevant experimental
data.
