Sore throat may not necessarily be infectious in origin. If it's not going after antibiotic course we have to rule out other reasons. It may be allergic or from acid reflux.
Next Steps
Get checked by ENT specialist. Nasopharynx and larynx should be checked for signs of any post nasal drip or gastrooesophageal reflux.
Health Tips
Try some home remedies...like salt water gargle, steam inhalation. Avoid spicy food.