Thanks for posting on HCM,
First I feel that your antibiotics was lowly dosed: augmentin
500mg twice daily for pneumonia
makes 1g daily which is small for adult dosage and it could be stepped up to 2-4 grams daily. I suggest you first discuss with your treating health care practitioner and then let he/she be the one to decide whether to increase or not. I personally feel the dosage should be increased to at least 3grams i.e 2 tablets twice daily for 7 days. Also another alternative that your antibiotics should be changed since augmentin has already been indicated and they might be a possible resistance to that already.
is irritation of your respiratory tract
due to the presence of an infection. Ones the infection is treated the cough will go.
Hope this helps