  In this work we study the antinucleon-nucleus optical potential in the
framework of the non-linear derivative (NLD) model with momentum dependent
mean-fields. We apply the NLD model to interaction of antinucleons
($\bar{\text{N}}$) in nuclear matter and, in particular, to antiproton
scattering on nuclei. In nuclear matter a strong suppression of the
$\bar{\text{N}}$-optical potential at rest and at high kinetic energies is
found and caused by the momentum dependence of relativistic mean-fields. The
NLD results are consistent with known empirical $\bar{\text{N}}$-nucleus
observations and agree well with antiproton-nucleus scattering data. This makes
the NLD approach compatible with both, nucleon and antinucleon Dirac
phenomenologies. Furthermore, in nuclear matter an effective mass splitting
between nucleons and antinucleons is predicted.
