My mom had laser hair removal therapy after that she got scratches? is it safe for her to continue therapy? now what to do?

Laser may itch: I am not sure if you are asking if the laser caused the scratches ( unlikely) or made her itchy which promoted her to scratch herself (more likely)"laser may cause histamine release and inflammation which can be itchy. Pretreatment with antihistamines and post treatment with Hydrocortisone cream may help.

Wait until it heels: Any laser therapy can cause discoloration of the skin especially in the setting of an injury. I would wait until the scratches heel completely before proceeding with more laser treatments.