1st world :
On Earth, there is flame - I cant connect this to anything on top of my head, maybe
@Salah WG will decypher this.
Mankind overtaken by desire, touched upon the forbidden Sun - this probably refers to the age when desire manifested into DFs.
The enslaved prayed, Sun God appeared - the first manifestation of the Sun God Nika, the God of Liberation.
The deity of Earth(Earth god from Skypiea)
is enraged. - this is the main villain of the 1st world but it is unclear if he is HIM.
With Serpent of Hell Flame they engulfed the world in death and darkness - the 1st destruction of the world.
2nd world :
In emptiness, there is breath - the only thing that this reminds me of is Shiryu's nothingness and Zoro's breath of all things but unlikely.
The deity of Forest(Forest god from Skypiea)
dispatched Demons - This is Imu who gives demonic powers to Gorosei.
Sun did nothing but spread seeds of war - Joyboy from Void Century who was Nika, the God of Destruction(Vegapunk cant tell evil.)
The ppl of half Moon saw a dream, ppl of the Moon saw a dream - this is probably Lunarians and Shimotsukis.
Men became gods after slaying the sun - refers to families of 20 kingdoms becoming Celestial Dragons after slaying Joyboy.
The deity of the Sea rampaged - Refers to former Poseidon raging due to Joyboy failing his promise.
3rd world :
In chaos, there is Void - this likely refers to Blackbeard as the Void who makes use of the chaos that will engulf the world in WG war.
The troubled Shadow remembers, the promised day - Blackbeard is troubled shadow who doesn't sleep and bets everything on fate.
And listens to the sound of the fragmented moon - Possibly the 2nd soul inside him is the fragmented moon and he listens to him.
The Sun god dances and laughs - Luffy as the Nika, God of Laughter.
Leading the world to its end,
The Sun will return
And so comes a new morning - Other than a promised Dawn, idk what it means leading the world to its end.
Not sure what the last line of the 3 worlds means, the cant be met again/they will meet again. Not sure to who it refers.
As you can see, Imu is the star of the 2nd world, he hasn't been around in the 1st world and he will not be the star of the 3rd world because this world belongs to Blackbeard. Thus the hint from Augur what they want - The World.
Now, it is unclear if any of the main villains of the 3 worlds are the huge winged demon above the Adam tree who spits fire.
It could end up with Blackbeard as he still doesn't have the 3rd, Zoan fruit which could be exactly that one.