What are the ways to make my voice come back & to get rid of my cough faster?

Sx relief only.: Hydrate well. Consider using a warm air vaporizer. Mix several teaspoons of honey into herbal tea w a squeeze of lemon juice. Or make tea with 2 tsp of marshmallow root bark per 1cup of hot water (steep in a covered pot for at least 5 minutes). Drink several times a day or as needed to relieve coughing. Voice rest. See a dr if your cough is not resolving, difficulty breathing or temp > 104.

Hoarseness: Voice rest is probably the most important thing you can do, but salt water gargles often help too. If you are a professional voice user, and your voice is coming back slowly, see an ENT who can try medications to decrease swelling faster. Feel better.