At the time, it was reported that the backup would only work until September 2016, when access would be permanently disabled. To download, you will need to use the email address used on the social network.
Therefore, it is likely that the images retrieved in the video that has gone viral are not from Orkut, but from Picasa, the former Google Photos network. Another possibility is that this is the profile of the person who backed up via Google Takeout and is now only offering to download the images.
To do this, simply sign in to Google Photos using the email used in your Orkut profile and the photos associated with the account will appear in the storage.
To check if your photos are still available, just: remember the email and password you used to log in to Orkut; log in to Google Photos with the same account; and that's it: the photos should be available on the site's homepage.
It's a good idea to also check your old emails, as Google may have sent you backup links or notifications.
There are some online mechanisms that can help users recover media published on Orkut. These are sites like the Wayback Machine, which has been archiving some web pages for decades.
