Particle physicists recognize some processes that generate slightly more matter than antimatter. "...In technical terms, those processes violate a symmetry known as "CP–symmetry". In a nutshell, a process obeys CP–symmetry if its results are identical after changing all particle positions to a mirror image and changing all particles to their antiparticles. CP–symmetry–violating processes can produce an excess of matter because they treat particles and antiparticles differently.
Cosmologists can explain the lack of antimatter in the universe if enough CP–symmetry violation occurred shortly after the big bang, resulting in more matter than antimatter. After the excess was produced and the universe cooled more, all the antimatter would have been annihilated with the normal matter, leaving a residue of matter and energy. Calculations show that it would take roughly one extra matter particle for every billion matter/antimatter pairs to generate the matter density of our universe.
One aspect of this explanation that troubles physicists is that the nature of the CP–symmetry violation seems unusual. In other words, its value differs from the theoretically expected value. If the symmetry–breaking were more in line with the expected value, the universe would contain too little matter for life to arise. This indicates fine–tuning in the amount of CP–symmetry violation..." (Source: "A Teacher's Guide to the Nuclear Science Wall Chart")