Beatriz Rapoport de Campos Maia, 29, and her fiancé, Rafael Seirafe-Novaes, 41, were charged with battery and trespassing.
The Miami-Dade Sheriff's Office said one of them threw their coffee on someone working at the airport during the altercation.
A couple was arrested at Miami International Airport after allegedly attempting to board an American Airlines flight without authorization, police said.
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