So 8 of the plates have the same story as DP, but the other 11 give a little more detail on other parts of the legend
Blank Plate: "Three beings whose power can hold both time and space fixed."
Flame Plate: "The power of defeated giants infuses this Plate."
Splash Plate: "The rightful bearer of a Plate draws from the Plate it holds."
Zap Plate: "The third being raged, raining down bolts of anger."
Meadow Plate: "The powers of Plates are shared among Pokémon."
Icicle Plate: "Two beings of time and space set free from the Original One."
Fist Plate: "The rift is born of disorder on the other side of this world."
Toxic Plate: "The rules of time and space change within the opposite world."
Earth Plate: "When the universe was created, its shards became this Plate."
Sky Plate: "The being poured the remains of its power into stone and buried it deep."
Mind Plate: "The Original One breathed alone before the universe came."
Insect Plate: "Where all creation was born, that is the being's place of origin."
Stone Plate: "It gathers power from the Plates, listening for the flute's song."
Spooky Plate: "The other side of this world was given by the Original One to its raging third."
Draco Plate: "Three beings were born to bind time and space."
Dread Plate: "Two make matter, and three make spirit, shaping the world."
Iron Plate: "That which fills the other side of the world can shape the rage and mold it."
Pixie Plate: "The Original One is in all things. The Original One is nowhere at all."
Legend Plate: "From all creations, over all creations, does the Original One watch over all."
Though rather than one continuous story it seems more like the default sort kind of moves everything around, and it also seems like there's a few concurrent stories. Bit hard to sort out fully, though you can easily point out all the stuff pertaining to the Distortion World & Giratina.
Kind of interesting how the Distortion World is positioned as something given to Giratina to give it something to shape its rage. If I had one big failing with the game's story it's how Giratina feels like such an afterthought despite being so important to the game's plot.
I also find the bit about Arceus (I presume this is "The being" mentioned, anyway) poured the remains of its power into stone & buried it deep interesting. I don't think that's pertaining to the plates, which are mentioned separately and given to the nobles (/ just ....around, for some reason). I think that might be referring to the Ancient Quarry. Original Celestica and the Temple of Sinnoh created with the arceus' power too, in a roundabout way?
If I had to put the plates in a narrative order, it would be like this
Pixie Plate "The Original One breathed alone before the universe came."
Legend Plate: "From all creations, over all creations, does the Original One watch over all."
Insect Plate: "Where all creation was born, that is the being's place of origin."
Pixie Plate: "The Original One is in all things. The Original One is nowhere at all."
The first verse describes the Original One and its power.
Draco Plate: "Three beings were born to bind time and space."
Blank Plate: "Three beings whose power can hold both time and space fixed."
Icicle Plate: "Two beings of time and space set free from the Original One."
Dread Plate: "Two make matter, and three make spirit, shaping the world."
Zap Plate: "The third being raged, raining down bolts of anger."
Fist Plate: "The rift is born of disorder on the other side of this world."
Toxic Plate: "The rules of time and space change within the opposite world."
Spooky Plate: "The other side of this world was given by the Original One to its raging third."
Iron Plate: "That which fills the other side of the world can shape the rage and mold it."
Sky Plate: "The being poured the remains of its power into stone and buried it deep."
The second verse describes the story of Dialga, Palkia and Giratina. I assumed that the stone refers to Griseous Orb.
Earth Plate: "When the universe was created, its shards became this Plate."
Flame Plate: "The power of defeated giants infuses this Plate."
Meadow Plate: "The powers of Plates are shared among Pokémon."
Splash Plate: "The rightful bearer of a Plate draws from the Plate it holds."
Stone Plate: "It gathers power from the Plates, listening for the flute's song."
The third verse describes the Plates.