Question
how can I increase the growing of roots or branches of roots in a regular and healthy orchids of its own root system. and is it true that vitamin b1, aspirins or hormones help to produce new roots, and how do I apply them.

Answer
It has been reported that vitamin B1 or hormones can improve growth. They would be added to water. There is a product called Superthrive that has been used by many orchid growers to improve growth.  This is used at the rate of one drop per gallon of water.  I'm not sure how widely available this is.  You might try googling this product to see who has it.