The answer is no, and the proposition that there should be a mandatory requirement would be very, very bad governance practice. These are, appropriately, judgements that are made by the elected executive government of the day, whoever that government is.

It is not appropriate and it's not good practice for a legislator to seek to mandate and limit the flexibility of the government in relation to composition of these sorts of boards in the way that you are suggesting. If, as I've indicated before, the Greens want to have that sort of power and authority then they need to persuade a majority of Australians and a majority of House of Representatives seats to support your agenda.