  The results of the microscopic transport calculations of $\bar p$-nucleus
interactions within a GiBUU model are presented. The dominating mechanism of
hyperon production is the strangeness exchange processes $\bar K N \to Y \pi$
and $\bar K N \to \Xi K$. The calculated rapidity spectra of $\Xi$ hyperons are
significantly shifted to forward rapidities with respect to the spectra of
$S=-1$ hyperons. We argue that this shift should be a sensitive test for the
possible exotic mechanisms of $\bar p$-nucleus annihilation. The production of
the double $\Lambda$-hypernuclei by $\Xi^-$ interaction with a secondary target
is calculated.
