Cough with dry and itchy throat does not necessarily need to be treated with antibiotics.
If the cough is caused by exposure to dust or irritating gases, or if the air is hot or cold, the cough usually does not need treatment. You can open the windows frequently, keep the temperature of the home environment constant, and stay away from irritating substances, and the cough can usually be relieved or disappear.
If there is no obvious external stimulus and the cough lasts for a longer period of time, accompanied by symptoms such as mild pain in the throat, you need to seek medical attention promptly and consider whether antibiotic treatment is needed according to the situation.