Dry flaky lips can be due to many reasons and are definitely bothersome.
Use of clean and proper cosmetics and medicines is important in this case.
Not all cosmetics are suitable.
Next Steps
As a medical Cosmetologist, I deal with such situations almost everyday.
Kindly book an online consultation for further evaluation and management.
Health Tips
Avoid lip-licking as that can increase dryness of lips and can cause pigmentation.
Avoid peeling the lip skin as that can irritate the lips more.