Is it ok to give baby of 2 month old augment as per dr. Presc and she is with fever runny nose cough and mild crep.!

Yes. Your pediatrician should have prescribed a weight appropriate dose of the antibiotic. If they didn't think your child needed it, they wouldn't be prescribing it. Drug resistant bacteria from inappropriately prescribed antibiotics is a real problem, a problem that they should be aware of.
Doctor's orders only. A baby that young should only given such medication under a physician's direction. The pediatrician will need to calculate the dose based on baby's weight and the diagnosis. You don't provide enough information to make a diagnosis but, if baby has a simple cold, antibiotics are usually not warranted. Make sure baby is seen by a doc before giving mess.