My stomache feels sick and my burps smell like sewage all day. just got off flu, is this normal?

Doesn't sound normal: If you are not severely constipated this may be bacterial imbalance or dysbiosis. Could be H. Pylori. Could be bacterial overgrowth in the small intestine. I would advise having your primary provider or a gastroenterologist evaluate things before allowing it to go to far.

Egg Burps.: Egg burps, sometimes called sulfur burps, are caused when your body expels the hydrogen sulfide gas produced when certain proteins break down in the digestive system. Pepto Bismol (bismuth subsalicylate) works by binding with the sulfides in your stomach and digestive system. Certain medications, foods or even a recent infection can cause this. Try some Pepto, see a doctor if it doesnt improve.