Sir Roger Penrose proposes that the universe is a result of cyclical events and that the forces of nature somehow evolved....how he determined that, I don't know. I'm not sure how he proposes the resupply of anti-matter either...or if it's even necessary according to his model. This article may explain it better...
http://www.bbc.co.uk/news/science-environment-11837869
"Evidence of events that happened before the Big Bang can be seen in the glow of microwave radiation that fills the Universe, scientists have asserted.
Renowned cosmologist Roger Penrose said that analysis of this cosmic microwave background showed echoes of previous Big Bang-like events.
The events appear as "rings" around galaxy clusters in which the variation in the background is unusually low."
I haven't read his entire proposals so I can't say how he concludes that the "rings" which he found explain his model and oppose Big Bang cosmology or how the forces of nature could have evolved multiple times. There are also observations of "intergalactic shadows" which seem to indicate a problem with the CMB as being a proposed "echo" of the Big Bang event.
"Big Bang's Afterglow Fails Intergalactic 'Shadow' Test
ScienceDaily (Sep. 5, 2006) — The apparent absence of shadows where shadows were expected to be is raising new questions about the faint glow of microwave radiation once hailed as proof that the universe was created by a "Big Bang."
http://www.sciencedaily.com/releases/2006/09/060905104549.htm
Another article explains that the rings are supposedly a normal expectation of CMB.......
"Mainstream cosmologists, who have seen a long list of anomalies in the cosmic background come and go, were not impressed. Now their skepticism is supported by two groups of cosmologists, Ingunn Kathrine Wehus and Hans Eriksen of the University of Oslo in Norway and Adam Moss, Douglas Scott and James P. Zibrin, all of the University of British Columbia. In separate papers based on data from the Wilkinson satellite, both groups reported finding such rings, but said the rings were consistent with having arisen by chance in the earliest moments of our own universe. Eternity is not needed to explain them.
Dr. Moss and his colleagues wrote, “Gurzadyan and Penrose have not found evidence for pre-Big Bang phenomena, but have simply rediscovered that the CMB contains structure.”
http://www.nytimes.com/2010/12/14/science/space/14cosmic.html
And there are also proponents of a theory for the universe called "plasma cosmology" ...that many of the observations in the universe are better explained by plasma and electromagnetic phenomena. It also negates the need for hypothetical dark matter and energy.
http://jvr.freewebpage.org/TableOfContents/Volume3/Issue3/APlasmaUniverse.pdf
http://www.youtube.com/watch?v=wOI-X215A8Y
http://www.youtube.com/watch?v=zFEVM-IkXLA&feature=related
http://www.youtube.com/watch?v=tIbUK3c9zak&NR=1