Every time i brush my teeth or use mouthwash my mouth and lips get dry. what could be the problem?

Alcohol: Most moth rinses contain alcohol and that can dry your mouth. If your does consider using a different mouth rinse without alcohol..

Dry lips: You may have an allergic respond to the ingredients in your dentifrice and mouthwash. Talk to your dentist about non-alcohol mouthwash and dentifrice that's free of sodium laurel sulfate. Evaluation by an allergist may be in order.

Mouth wash: Mouth wash have alcohol in them which can give dry mouth, try another brand of mouthwash without alcohol.