Installing:

  • Click on the Archive Selected Messages by Date.applescript in the file list above
  • Right click on the 'Raw' button at the top of the file listing
  • Select Download Linked File
  • In Finder us the Go > Go to Folder.. menu item and enter ~/Library
  • In the Library folder, create a Scripts > Applications > Mail folder hierarchy
  • Move the downloaded folder into the Mail folder

You can then invoke a couple different ways:

  • Open /Applications/Utilities/Script Editor.app
  • Open its preferences and enable the Show Script menu in menu bar
  • This should put a menu extra on the right side of the menu bar that will have a "Archive Selected Messages by Date" option

Alternatively if you prefer a keyboard shortcut:

  • Install FastScripts from https://redsweater.com/fastscripts/ and buy a license
  • Open it up (it will also add a menu extra)
  • Open its preferences
  • In the General tab, set Open FastScripts when you log in to your Mac
  • In the Keyboard Shortcuts tab, expand the Library/Scripts/Applications/Mail hierarchy and assign a shortcut. I used control-command-1k (though this replaces Mail's default Move to All Inboxes keyboard shortcut)

The second option is a little faster once you get your preferred keyboard shortcut memorized