The Pokémon Company has announced that players who complete the Sinnoh Pokédex can get a Shiny Manaphy while those that complete the Hisui Pokédex can get a Shiny Enamorus in Pokémon HOME.

Pokémon HOME - Manaphy and Enamorus Pokémon Distributions

Complete a Pokédex in the smartphone version of Pokémon HOME to receive a special Pokémon!
2 distributions are available and you can get a Shiny Enamorus by completing the Pokédex from Pokémon LEGENDS Arceus, and a shiny Manaphy by completing the Pokédex from Pokémon Brilliant Diamond / Shining Pearl.

スマートフォン版『Pokémon HOME』の「ソフト図鑑」完成で特別なポケモンをプレゼント！
第2弾として『Pokémon LEGENDS アルセウス』のソフト図鑑完成で色違いのラブトロス、『ポケモン BD・SP』のソフト図鑑完成で色違いのマナフィがもらえるよ。

Source: https://x.com/Pokemon_cojp/status/1884119218632659047

Complete Pokédexes to Earn Shiny Enamorus and Shiny Manaphy in Pokémon HOME

Catch all the Pokémon in Pokémon Legends: Arceus and Pokémon Brilliant Diamond or Pokémon Shining Pearl to collect rewards.

The recent version 3.2.2 update for Pokémon HOME added the ability to earn special Pokémon via Mystery Gift by completing specific game Pokédexes. Two new rewards are now available in Pokémon HOME for diligent Trainers who have made it their mission to collect every Pokémon within a region. Now, if you have completed your Hisui Pokédex (from Pokémon Legends: Arceus), you will receive a Shiny Enamorus. If you’ve completed your Sinnoh Pokédex (from Pokémon Brilliant Diamond or Pokémon Shining Pearl), you will receive a Shiny Manaphy.


To receive these Pokémon, you must complete the corresponding Pokédexes in Pokémon HOME, then confirm your completion in the Games tab. If you’ve already completed these Pokédexes, you’re still eligible to receive the Pokémon. Be aware that to receive Mystery Gifts, you must have a linked Nintendo Account, and each Mystery Gift can only be received once per Nintendo Account. Enjoy earning these special Shiny Pokémon, Trainers!

Source: https://www.pokemon.com/us/pokemon-news/complete-pokedexes-to-earn-shiny-enamorus-and-shiny-manaphy-in-pokemon-home