no, you know, actually cow milk is not suitable for human, i know it is unbelievable. however, per recent studies of some professional, as well as my doctors, say that cow milk really has a lot of problems which cause people having allergy, like my bb, he has allergy and cannot take the cow milk.
also, the cow milk has triple protein than breastmilk, which only suitable for the growth of small cow, cow will have triple size and weight after 1 month of birth, that's why baby is overweight after taking the cow milk.
return to your question, actually soy bean milk is very good and can produce a lot of calcium, and it can help you to prduce much milk.
if you want to increase the milk supply, just drink more water, soap, soy bean milk, more direct feeding, feed baby every 1-2 hours, it helps.
also, please bring your bb to health center, maybe your nursing position is wrong so bb cannot take enough milk, you can feed in front of nurse to see what happen.