ELI5 Mouthwash - why do so few dentists recommend it?

Dentists recommend flossing all the time, but why don't they suggest the use of mouthwash as much? Can or can't you rebuild enamel with mouthwash or toothpaste products? Why does mouthwash cause a burning sensation in your mouth? Why was it named Listerine and what was the event that made it take off?

... We explain like i'm five!

Thank you to the r/explainlikeimfive community and in particular the following users whose questions and comments formed the basis of this discussion: billclinton09, ameoba, themuffinman91, zem_42, shinecleaningseattle & thekidinme.

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