How to use After Effects to animate mesh gradient anchor points made in illustrator

Looks just likje a bunch of blurred color spots to me. Esily doable with a number of simple shape layer circles and a heavy blur adjustment layer on top. The sharp edges on top can be easily created on top, just without the blur using strokes, shape layers with merge paths operatiors, intersecting (feathered) masks on solids and so on.

Mylenium

Animate it? Not. Remake it? Possibly. Without exact info on your artwork we can't really advise. You have to show us a screenshot.

Mylenium