I’ve noticed the same thing. Now, after I eat, I drink a glass of water and gargle. My theory is the small bits of food get lodge in the bronchial tubes and coughing is a way to expel these particles.
I also have diverticulosis, which is the same concept. I’m told no nuts or seeds bc they get caught in the diverticuli. Lately I’ve just been eating soft foods bc they are easier to swallow and digest.
Hope this helps.
Good luck!
Carol Weinberg