At the start, you can do a sidestep to the left after you've collected the rings. It only saves a few frames and it's not required at all, but it's cool.
Magdash off of the first egg pawn and homing attack the last spring in the spring chain.
Boost onto the rail with the red ring.
Jump from the rail, then magdash to the platform with the pulley on it.
For safety and your sanity, magdash off the left side of the pulley, over the loop, land at the end of the loop, and then magdash off the group of sky sanctuary egg pawns a little further into the section. Stomp and then keep boosting until you land on the platform with the second red ring.
Boost into the red ring, and jump over the beeg gap.
Getting the rings is scary at first, but that's ok!
Air boost towards the platform with the rings, stomp right before the rings, and boost through them.
"This is the most consistent method and i get it literally every time after i started doing this" ~Ray
This bee magdash is kinda inconsistent, so try getting Sonic to go visibly below the platform the bee is on and magdash from there.
Stomp on the platform with the egg pawn thingy on it and then magdash off of the bee enemy after walking off the edge.
You can jump off of the last pulley to get the 3 rings and get to the last platform a little faster, but it's a bit too risky to go for when it only saves a little bit of time.
Explanations and video in this page by RayNheartZ.