As ezbuy would take some time to process orders, usually after the courier tracking shows that the parcel is delivered, it would take around 1-2 working days for them to update into your account. For USA parcels, it may be slightly longer as their warehouse does not operate over the weekends, and also seem longer due to the time difference.
Sometimes, it is due to insufficient/unclear information about the parcel that ezbuy are unable to update into your account. If you see that your parcel has logistics info has reached for a few days but not updated into your account, please check with the seller whether the address/tracking info is correct, then submit an order to ezbuy and they will update for you in around 1-2 working days.
You may also contact their customer service team for assistance while providing your user ID, tracking information and product URL for reference.