Since your dry cough hasn't improved, you may benefit from a dedicated cough suppressant. Your previous medication is primarily formulated to treat cold symptoms and congestion rather than a pure dry cough. For relief, you can look for a syrup containing the generic active ingredient Dextromethorphan hydrobromide, which helps calm the cough reflex. Staying well-hydrated with warm fluids and using honey can also soothe your throat. If your cough persists for more than a week, or if you develop new symptoms like fever or shortness of breath, please consult a healthcare professional in person for a proper evaluation. Rest well!