HI, thanks for using healthcare magic
The most common causes for persistent cough are : post nasal drip
, gastroesophageal reflux disease
and cough variant asthma
A postnasal drip may also in some persons, be associated with other symptoms such as nasal congestion
Gastroesophageal reflux disease may be associated with a burning sensation in the chest, bloating and an acid taste in the mouth.
You are presently on medication to treat gastroesophageal reflux, if the dose is not at the optimal level, your doctor can consider increasing it.
In addition you may want to consider the use of a nasal spray
and oral antihistamine, these will treat post nasal drip if present.
If you use medication to treat the both of these with no response, then you may want to consider the use of an inhalor to determine if it is related to asthma.
I hope this helps