hi there, the constant cough
could be due to various reasons and a few of them are
1.inadequately treated URTI with antibiotics which will require a prolonged and stronger course of antibiotics along with expectorants.
2.allery to some food products or other items which will have to be identified and removed for permanent cure.
3.constant irritation of the throat with smoking
or other envioronmental pollutant which if you smoke ,you will have to curb it or get away from the place where you are exposed to such pollutant.
which is causing reflux of gastric juices which in turn is leading to throat irritation
and coughing. You need lifestye changes and antacids.
I would recommend you to get an x-ray chest done and visit your internist to get yourself assessed and start the treatment accordingly. Take care.