With friends Josh Homme, Brant Bjork, Rob Oswald, and Karl Doyle among others, the band recorded their debut album, Cocaine Rodeo, the same year.

The album wouldn't be released until three years later due to Oliveri and Homme being full-time members of Queens of the Stone Age.

There was little support of the album by the way of live shows, and the band gained cult status among the most devoted Queens of the Stone Age fans.

The live band, which included Oliveri, Catching, Bjork, and McGuire, went on a three-month tour of North America and Europe to support the album.

Oliveri would do an afternoon set with Mondo Generator, then at night he would play with Queens of the Stone Age, who were appearing on the main stage.

In early 2004, after Oliveri was fired from Queens of the Stone Age by Homme, he announced that Mondo Generator would become his full-time project.

The three-piece entered Dave Grohl's Studio 606 in Los Angeles in December 2005 to begin work on the next Mondo Generator album.

The rejection sparked a war of words between Sharon Osbourne and Homme, and shortly after, Mondo Generator accepted QOTSA's slot.

In a July 2009 Myspace blog, Oliveri announced that the next Mondo Generator record would be titled Shooter's Bible but removed the post a day later.

On April 6, 2010, it was announced that Mondo Generator's fourth full-length album would be entitled Time to Destroy with a release date slated for July/August.

The first single, "Dog Food", was released on May 21, 2010, and featured Dave Grohl on drums, bassist Happy Tom, and guitarist Marc Diamond.

[11] In 2015, Mondo Generator went through a lineup change, with Ian Taylor and Hoss Wright departing, and Jeff Bowman joining full-time on drums.

In November, just a week after the terrorist attacks in Paris, including the Bataclan where fellow desert rockers Eagles of Death Metal were playing, Mondo Generator kicked off a European tour at Speed Fest in Eindhoven, Netherlands, to a crowd of more than 5,000.

[16] The album featured their performance at the Bronson club in Ravenna, Italy on 13 February, 2020 before their tour was cancelled due to the COVID-19 pandemic.