I can’t claim to know a terrible lot on the subject but I quote the following:
“Bill payments from your ANZ credit card can be processed as either a purchase or a cash advance, depending on how the biller is set up with the BPAY billing service. If the payment is treated as a cash advance, you will be charged a cash advance fee and won’t earn points. Other reward exclusions include interest charges, government charges, bank fees, ATO payments and balance transfers.”
Without knowing your specific needs and billers on BPay payments, there may not be a straight forward answer.
This page outside of PointHacks may be able to help. link
Here is also a link to the PointHacks Master Credit Card Table which can be sorted by ATO payment, utilities, point caps and amex/visa-master to name a few.