First Up: Pokémon Scarlet and Pokémon Violet!
You can now receive special Pokémon as Mystery Gifts for completing game Pokédexes in the mobile device version of Pokémon HOME!
The first featured games are Pokémon Scarlet and Pokémon Violet! If you complete your Paldea Pokédex, Kitakami Pokédex, and Blueberry Pokédex, you’ll receive a Shiny Meloetta.
• Mystery Gifts is a feature only available on the mobile device (iOS/Android) version of Pokémon HOME.
• In order to use the Mystery Gifts feature, you must have a linked Nintendo Account.
• You will only be able to receive each Mystery Gift once per Nintendo Account.
• Certain features may be unavailable depending on your device or OS version.
Conditions for receiving this gift
• Complete your Paldea Pokédex, Kitakami Pokédex, and Blueberry Pokédex, then confirm your completion in the Games tab of Pokémon HOME. If you have already completed these Pokédexes, you are still eligible to receive this Mystery Gift.
We plan to add more Mystery Gifts for completing other game Pokédexes in the future. We hope you’ll enjoy them!
Yeah, HOME will show you what's missing. So just drag em all to HOME, (save,) then back into S/V, (save,) and the HOME Pokedex will have empty entries for all the 'mons that didn't apply.
Edit: (save)