As the cough did not subside even on taking antibiotics, it would be better if you get a Chest X-Ray PA View and a Complete Blood Picture with ESR done. You also need to completely avoid cold weather, dust and pollution. Avoid both active and passive smoking and spicy foods. Use face masks and warm clothing. Get the reports examined by a Physician or Pulmonologist as well as getting a Physical Examination done. Meanwhile try to take more citrus fruits and more proteins like egg white, milk, soya and beans.