As you (I presume) have finished the antibiotics for the strep throat, but are still feeling as you have the flu with a cough that will not stop, I suggest you get the doctor to examine you to make sure the infection has not spread to your lungs.
Keep warm, drink plenty of warm liquids - honey and lemon is nice. Lemsip if you can take that. Avoid milk drinks as they produce more mucus.
You can apply Vick to your chest and throat or do a steam inhalation. A hot bowl of water with vick or olbas oil and breathe in the steam with a towl over your head. Take care not to get scalded.
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