Thanks for your question on Healthcare Magic.
I can understand your concern.
Yes, you are right.
All your symptoms are due to inhalation of barbecue smoke.
This kind of smoke can cause irritation and inflammation of the throat.
And this can cause symptoms like coughing, bad taste,
sore throat etc.
So drink plenty of fluids orally and keep your self hydrated.
Do warm water gargles 5-6 times a day.
Take antihistamine and anti inflammatory drugs.
Avoid oily and spicy food for 1-2 days. Avoid hard to chew food for 1-2 days.
Don't worry, you will be alright with all these in 2-3 days.
Hope I have solved your query. I will be happy to help you further. Wish you good health. Thanks.