Per https://www.gov.bm/cruise-travel-authorisation you now need to apply and receive confirmation to your Travel Authorization form for cruise ship arrival 2 weeks prior to embarking your ship.
They have dropped the need to go back to upload test results just prior to boarding the ship, unless instructed to by a direct email from the Bermudian government (look for the senders address to contain gov.bm). BUT now require that you have a fully readable without extra app test report (so no just QR code lab links) or printout of the test results which may be asked for on the pier before being allowed to exit the immigration controlled area between the ship and main port complex.
Parents of unvaccinated children (2-11) may have to show both test results, the pre terminal arrival NAAT test and the cruise line overseen embarkation day rapid test result reports, for the minor(s). Children under 2 are still exempt from testing and do not need a TA application when traveling with fully vaccinated adults.