  We consider exclusive two-pion production in antiproton-deuteron interactions
at the beam momenta around 10 GeV/c in the kinematics with large momentum
transfer in the underlying hard process $\bar p n \to \pi^- \pi^0$. The
calculations are performed taking into account the antiproton and pion soft
rescattering on the spectator proton in the framework of the generalized
eikonal approximation. We focus on the color transparency effect that is
modeled by introducing the dependence of rescattering amplitudes on the
relative position of the struck and spectator nucleons along the momentum of a
fast particle. As a consequence of the interplay between the impulse
approximation and rescattering amplitudes the nuclear transparency ratio
reveals a pretty complicated behaviour as a function of the transverse momentum
of the spectator proton and the relative azimuthal angle between the
$\pi^-$-meson and the proton. Color transparency significantly suppresses
rescattering amplitudes which leads to substantial modifications of the nuclear
transparency ratio moving it closer to the value obtained in the impulse
approximation. By performing the Monte-Carlo analysis we determine that this
effect can be studied at PANDA with a reasonable statistics.
