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, pHe, Hep, HeHe, p¯p and 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. Program summaryProgram Title:AAfrag 2.01CPC Library link to program files:https://doi.org/10.17632/6f73jz6jx8.2Developer's repository link:https://aafrag.sourceforge.ioCode Ocean capsule:https://codeocean.com/capsule/1159734Licensing provisions: CC BY-NC 4.0Programming language: The program exists both in a Python 3 and Fortran 90 versionJournal reference of previous version: Comp. Phys. Comm. 245, 106846 (2019)Does the new version supersede the previous version?: YesReasons for the new version: Inclusion of antinuclei tables, and a Python 3 version for the pedestrian.Summary of revisions: Improved formatting of tables, inclusion of new secondaries, inclusion of Python version.Nature of problem: Calculation of secondaries (photons, neutrinos, electrons, positrons, protons, antiprotons, antideuterons and antihelium-3) produced in hadronic interactions.Solution method: Results from the Monte Carlo simulation QGSJET-II-04m are interpolated.