Your problem may be due to post nasal drip
Thanks for writing to HCM
Cough deposition in the throat may be due to post nasal drip and it is due to allergic rhinitis
.Acid reflux can also cause same symptoms.
You can take combination tablet of pantoprazole 40 mg and domperidone10 mg half hour before food for six weeks.
You should also take short course of antibiotics like tablet Roxithromycin 150 mg twice daily for five days.
You need proper evaluation by a ENT specialist
.You are receiving right treatment.
Steroid inhaler (fluticasone spray) is prescribed to you due to severe nature.
Montek LC contains Montelukast and Levocetirizine
dihydrochloride.It is best for allergic reactions.It will help in long term maintenance.
You can take Cyproheptadine
for post nasal drip.
Other common causes like pharyngitis,dust exposure,common cold etc should also be excluded.
You need investigations like routine hemogram,RBS,Chest X-ray(PA view).Further investigations can be done if needed.
You should avoid alcohol and smoking completely if you take it.
You should take anti hypertensive medicines regularly.
Get well soon.
Hope i have answered your query.
Further queries are most welcome.