Had my AZ 2 yesterday and the medicare record and full certificate were there last night but both showing as Astra Zenica only, not the revised name. Will check back soon in case it changes.Not sure if anyone else has noticed this but my first AZ dose (all I've had so far) is now showing on my Immunisation history as "AstraZeneca Vaxzevria" on the Medicare app. So if you'd had AZ I'd suggest downloading your Immunisation History and Vaccine Certificate again to have the internationally recognised name showing.
N.B. The immunisation history pdf in the app and on the full website shows the type of vaccine taken. I checked with a friend who has had both doses of AZ. Only the vaccine certificate that can be downloaded from the full website shows the type of vaccine taken not the certificate in the Medicare Plus app or the one that can be added to Apple Wallet.