It may happens that your order won't be updated directly on your marketplace, the reason for this is actually super simple! 🙌
In case the hourglass over the marketplace keeps remaining, it will means that the API call for server's update has failed.
If the green tick appears above your marketplace icon but tracking hasn't been received yet by the order on Magento, it will also means that the transmission has encountered some issues.
To check the origin of the issue you can contact your technician to verify Magento logs.