Does anybody know any home remedies for angular cheilitis?

Vaseline: Any ointment that will moisturize the corners of your mouth will usually help the symptoms.

First find out why: It is more important to find out the cause of your angular cheilitis rather than merely wanting to find some home remedy. There are many causes and may well return without knowing what caused it in the first place. You should first consult with a dentist to make sure that is what you have, and then you can discuss treatment and prevention.