Foreign universities depend on whether they offer you an offer and a COE. If they don't, you can use a new name when applying (if you have questions about the previous name, of course, you should answer truthfully). If it has come out, you need to contact the school admissions office or your intermediary to explain the name change and give you a new quotation and an updated name of COE. There should be no problem with this Australian university.
I hope I can help you ~