We would recommend, first of all, Nutritic Lèvres, La Roche-Posay Nourishing Balm for intensive restoration of lip skin, details can be found in our articles, including: https://skin.ru/article/pochemu-treskayutsya-guby /
If at any time of the year, and not only in the sun and cold, then most likely you have a deficiency of vitamins A and E or an excess of vitamin A. Start taking vitamins or vice versa (depending on the current state) remove excess vitamin A from diet. And if in the wind in the frost they are weathered, then most likely everything is in order, well, at most you involuntarily lick or bite your lips and this causes them to peel. Breathing condensation while wearing a scarf in winter can also cause similar symptoms. In summer, peeling and cracking is caused by commonplace dehydration, water and sunscreen will help in this situation.
M.b. there is something on the topic:
How to cure chapped lips?