It is recommended not to use too much of soaps and bars for newborn babies. Hope you know baby’s skin is very soft and chemicals in these soaps can harm the skin very badly.
If you are more worried, I would suggest to see some dermatologist or a pediatrician
Also apply coconut oil on your baby’s skin. within some time, skin will become more soft or you use it regularly after bath. Also try not to use any soap for few days.