Hi and thanks for the query,
Yes, the antibiotic and the sinarest
are correct medicines. Not sure what is trump A cough
Cough is usually difficult to treat. Most cough syrups are a concoction of medicines with no logic behind.
Take a second opinion
Also try some general measures...
1) Warm salt water gargling.
2) Steam inhalation 5 times daily.
3) Absolute voice rest. No Whispering and yelling.
Avoid airconditioning and cold
Regards, Dr Kishori.