Hello dear
I understand your concern
Productive cough could be due to upper 
respiratory tract infection, allergic 
bronchitis.
I would suggest to consult 
primary care physician and undergo clinical examination for better treatment.
Following treatment will help you:
Stay Hydrated
Try Lozenges and Hot Drinks
Gargling with warm salted water or betadine
You can also use honey and ginger for soothing effects
Take Steamy Showers, and Use a Humidifier
Remove Irritants From the Air
Drugs:
- Decongestants:Tablet Diaminic DA twice daily for three to for days
- Syrup benadyl DR
- Take 
Deriphyllin Retard  if problem in breathing
- Tablet 
levofloxacin for 7 days to clear infections if needed
Hope this may help you
Contact further if follow up needed
Best regards
Dr. Sagar