@Kingsmen Sorry bhai, I am NOT Gujarati, so not much understood.
Answering from Google Translate,
Not sure about the Minor Account in Axis
But in HDFC, you can give your daughter's PAN card and ask them to update it in the Bank Account
then it should come in both places while applying from ASBA mode
1. In HDFC Bank's page before redirecting to HDFC Sec
2. In HDFC Sec's page, where we enter bid details
both places, name and PAN card number should be of your daughter/minor.
I hope I understood you correctly and answered satisfactorily.
Thanks.