Multiple factors may cause a persisting dry cough following bypass surgery – medication reaction or due to the surgical procedure itself. Follow up with your dad’s cardiologist who operated on him. If the current treatment does not work, they may need to change his medicines or find other reasons for coughing. Furthermore, it could be beneficial to consult a pulmonologist because sometimes lung related problems might be causing the problem. The best way to deal with this symptom effectively while ensuring your dad’s comfort and recovery is through prompt, proper medical evaluation.