Sorting Dropbox Folders by Most Recently Added or Updated Files Using the Dropbox API

You can use /2/files/list_folder[/continue] to list the files and folders under any particular path, but unfortunately the Dropbox API does not return the modification or creation date for folders in particular. I'll pass this along as a feature request, but I can't promise if or when that might be implemented.

It does return the modification date for files though, so you could iterate through the files in a folder and take the most recent file modification date and use that as the effective modification date for the parent folder, if that works for your use case.