I don't know which managed funds, presumably ETFs, are held but in my case the AMIT annual tax statements were available from Vanguard on 3 August.
There is never any need to wait for a third-party to aggregate this data. It's easily available from each provider's share registry and, if setup correctly with the share registry, you should receive an email advising the EOY statements is available. I completed all the tax stuff, including dividends and interest, within 30 minutes after Vanguard provided the AMIT annual tax statements.
Personally, I have never relied on a broker like Commsec for such information.