Hello,
Excessive dryness, licking the lips, any inflammation, dehydration can lead to loss of moisture from the skin or lips and make them look red!
So, drink 10-12 glasses of water everyday, stop licking or biting the lips, don't pick the lips, keep them suppled with application of good lip balm with vitamin E and SPF, don't rub them, maintain hygiene. Covering your lips with a scarf when you're outside during the winter can also help prevent dry lips.
Medication:
Take Sulphur 30/ once daily in the morning for 1 week.
Also, take a multivitamin for 3months.