This card ensures that your Lightsworn monsters will gain 100 ATK for each Lightsworn (usually) on your side of the field every turn, and possibly more if you are using support cards that also mill your deck. Lightsworns will become very powerful in only a few turns thanks to this card.
This card's effect also allows it to survive being destroyed by your own "Judgment Dragon", so if you happen to summon any more Lightsworns after Judgment Dragon destroys everything else, they'll still benefit from the power it provides.
"The Transmigration Prophecy" can be used to gain back some of the cards you lose from the Lightsworns' effects while still providing this card with Shine Counters. One example of how to do so is if you have "Jain, Lightsworn Paladin" as your only monster on the field, you can activate this card during your next turn. This will return the cards discarded from "Jain's" effect to your deck while still keeping the ATK boost from this card.
If your hand is already low and you don't have the graveyard presence for most "Lightsworn" effects, consider "Localized Tornado" in place of "Transmigration" - it keeps your field spell's Shine Counters while essentially refreshing your deck's supply of playable cards. This can be dangerous later on in the game, but worth it if you have any draw engines on the field.
This card works well with "Lightray Daedalus" as you can destroy 2 cards on the field at the cost of 2 Shine Counters.