Is the Laser Hair reduction make my hair grow back more?

The answer is Not.

Laser Hair Reduction uses light transform to a certain degree of heat, damaging or destroying the hair follicle and reducing hair growth.

Whether or not hair grows back depends on numerous factors, including hair growth cycle, hormones, medications. Most people find that when hair regrows, it is lighter, thinner, and softer. Then is the time to do a touch-up. Sometimes it may be not necessary as not noticeable.