Hello Prateek and welcome to HCM
To get quick relief from cough
you have a take regular steam inhalation 4-5 times a day with chest physiotherapy
and try to expel out the phlegm after every steam inhalation. If cough is more frequent and presistant than you can also try medicated nebulization with respules.
The antibiotic is only needed if you are expelling out yellow colored phlegm. Otherwise their is no need of antibiotic.
Expectorant cough syurp and asthalin
inhaler can also be tried for quick relief.
Best Wishes and have a speedy recovery