monde is short for mondegreen: a mishearing of a phrase, usually a song lyric.
Sylvia Wright coined the word in a 1954 essay, “The Death of Lady Mondegreen.” As a girl she heard the ballad “The Bonnie Earl o' Moray” end with “they hae slain the Earl o' Moray, and Lady Mondegreen,” and pictured him dying beside his faithful lover. The real line is “and laid him on the green.” There was no Lady Mondegreen. Wright found that out and kept her version anyway. It was more romantic.
a few you might know
More on the Wikipedia page.
Fittingly, the trainer's lyrics come from a public source that's often wrong, so treat them as rough.