A cough is often associated with a cold, flu, or other respiratory infection, but sometimes the source of the cough is higher up in the respiratory system. A sinus infection can cause a cough, specifically when mucus drains from the sinuses into the back of the throat. Sinus infections, also called sinusitis, can cause a variety of symptoms that may linger after a typical cold. Along with coughing, you may experience nasal congestion, facial pressure ...