A phrase originated in your friendly neighborhood Publix supermarket. When you eat chipotle or taco bell and you have major gas you ask to fart in someones mouth to avoid the spread of a potentially horrid scent.
Often times Poodles will develop a wet, brown or rust colored area around the edges of their mouths that is visually unappealing. A vagina that is similarly aesthetically unfortunate is said to be, "A Poodle's Mouth". This can also connote an associated fragrance.
"I over comitted, and when I realized the trouble I was in, I had to work the 'ol Poodle's mouth with my thumb while pretending to eat it."
The burning of the inside of mouth and or tongue due to the consumption of hot pizza. In particular the tomatoe sauce. Generally a result from intoxication.
Those beer munches got us a bad case of pizza mouth.