Hello,
Once you are subscribed to the deck on AnkiHub and logged into Anki through the AnkiHub add-on, everything is set up. If the deck appears in the Deck Management menu, it means it is already connected to your Anki.
AnkiHub automatically syncs every time you click the sync button in Anki. But you can also sync through here:
If you suspect you are not up to date, you can always reset local changes. This will ensure you have the latest version: How to Reset Local Changes
Could you please specify which updates you feel you are not receiving?