  Light antinuclei, like antideuteron and antihelium-3, are ideal probes for
new, exotic physics because their astrophysical backgrounds are suppressed at
low energies. In order to exploit fully the inherent discovery potential of
light antinuclei, a reliable description of their production cross sections in
cosmic ray interactions is crucial. We provide therefore the cross sections of
antideuteron and antihelium-3 production in $pp$, $p$He, He$p$, HeHe, $\bar pp$
and $\bar p$He collisions at energies relevant for secondary production in the
Milky Way, in a tabulated form which is convinient to use. These predictions
are based on QGSJET-II-04m and the state of the art coalescence model WiFunC,
which evaluates the coalesence probability on an event-by-event basis,
including both momentum correlations and the dependence on the emission volume.
In addition, we comment on the importance of a Monte Carlo description of the
antideuteron production and on the use of event generators in general. In
particular, we discuss the effect of two-particle momentum correlations
provided by Monte Carlo event generators on antinuclei production.
