This is an amazing entry! The tons of movement options you give the player make for a really challenging 2d platformer with tons of player expression. The sharp visual distinction between modes is also really impressive. Making all the assets for your game twice over is no small feat.
I got as far as the moving platforms in the cave level and couldn't quite make it past the ones where you have to ride them for a while while hopping over and under obstacles.
I think this game really does interesting things with the mode theme, being able to precision control moving platforms and even change the enemy AI is something that I find really compelling. Overall great job.