It's hard to picture any way of verifying more than one "big bang".
Moreover, the basic idea of a big bang is ridiculous. Having all the mass of the universe collapsed to a point would be the mother of all black holes; nothing would ever bang its way out of that.
The big bang idea is based on a wrong interpretation of redshift data:
holoscience.com | The ELECTRIC UNIVERSE – A sound cosmology for the 21st centuryService Unavailablehttp://www.electric-cosmos.orghttp://www.dragonscience.comhttp://www.geocities.com/kingvegeta80/cosmology.htmlHalton Arp's official website