Hi, I Have A Cough For The Past 4 Or

Hi, I have a cough for the past 4 or 5 months. I do have sinus problems and I think the cough is a result of post nasal drip. However someone asked if I had a Chang in medications and I have had a change. My doctor increased my covers yo from 2 mg to 8mg. Could this be the cause of a increase in mucus and my persistent cough.
Thank you