Cough since 2 months. For another 7 day.

I am suffering with cough since July 1st week. I consulted a General Physician, did a chest x-ray, and CBP, everything was good apart from esnophils count, it was 7. With the cough syrup and monocef tab I did not get any relief. So, I consulted an ENT, he said this is due to post nasal dip because of sinus infection. He gave me Augmentin 625, Allericet and Sinarest nasal drop for 7 days, with that I my Cough went off. But, 2 days after stopping the tablets it triggered again. I visited another ENT as my doc was out of station and this time I took a CT scan of sinus and few blood tests. As per the CT Scan report,  doctor said sinus is good there is no infection. But, as per the blood test, IgE count was showing as 590. Doctor said the Cough is due to some allergy and she gave me tablets for 10 days. I got a little relief after taking the tablets and after stopping the tablets, the cough started again. Consulted the doctor again and she asked me to continue the tablet for another 7 day.