You are suffering from acid reflux
which is leading to a conditions called `Larygo Pharyngeal Reflux`and `Gastro esophageal Reflux Disease`.In these conditions acid from stomach comes upto throat and causes irritation which leads to cough
. You need to take care of your acid reflux. Take a PPI and a prokinetic or better consult a gastroenterologist
. For cough tale montair lc and aerocort inhaler.