It is currently believed that baryon number conservation must be violated to produce a preponderance of baryons over anti-baryons in the early universe. An alternative to violating baryon number conservation is given here that preserves CPT invariance.
Here is the link:
http://www.gemarsh.com/wp-content/uploads/Baryon-Antibaryon-Asymmetry-in-the-Early-Universe.pdf