Nose breathing gets credit for a long list of benefits, filtering and humidifying air, releasing nitric oxide that supports blood vessel function, and making it physically harder to hyperventilate. Direct research specifically connecting mouth versus nose breathing to gut bacteria or digestion is thinner than the broader claims suggest, so the breakdown below separates what's established from what isn't.
Posture appears to matter here more than most people realize. Slouching while eating restricts the band of abdominal muscles that wraps around the stomach. That can both slow peristalsis, the muscular wave that moves food through the gut on its way from mouth to toilet, and trap gas that would otherwise pass more easily.
What to do with this
Sitting upright with relaxed, deep breathing during and after meals has real evidence behind it for reducing reflux symptoms, independent of whether you happen to be a habitual mouth or nose breather day to day. If you deal with chronic mouth breathing, congestion or a structural cause should be ruled out with a doctor, both for the established oral-health reasons and for sleep quality. The direct gut-bacteria claims attached to mouth breathing online still outrun the current evidence. Practicing slow, belly-centered breathing for a few minutes after a meal is a reasonable, low-cost habit with real data behind it for reflux specifically.