Coughing too much

My two month old baby his vaccines so he won’t get sick but if he doesn’t it won’t be as bad as the real sickness. He got sick and I pick up the medicine his doctor told me to get for fever and pain for the shots. I have been giving it to him cause he would be fussing a lot so I figured it was from the pain of the shots like the nurse said give it to him if he’s being a little more fussy than usual so I did few more days pass and now he got sick I have been giving him his medicine but you can hear in his cough the mucus he has while coughing I made an appointment already but I wanted to see if there’s anything I could do or give him for the coughing like honey or anything?