This may be too limited a perspective to really answer the question, but in quantum field theory a particle and it's antiparticle (electron and positron,say) can momentarily emerge from the vacuum as a quantum fluctuation; conversely if a pair aninihilate one another the resulting photon can subsequently give rise to another particle antiparticle pair...
These are observed experimentally, I think, so I don't see anything from this that is as mysterious as traveling back in time. Furthermore, these antiparticles can be sucked into a black hole (from just outside the event horizon) where upon the mass of the black hole theoretically decreases...Haven't read anything here either about time reversal.
Would ALL antiparticles be "expected" to travel back in time if any did?? Does big bang theory have any explanations about why matter predominated over anitmatter...I don't recall how much is theorized about that...