That looks like heavily blurred footage of some lights blended with a still image using a blending mode.
So, import a still image, make a composition based on it, import a video with some colored lights moving around, make a layer in the same composition based on this footage, apply a blur effect to the lights layer, and then use a blending mode to blend the two layers together.
If that didn't make sense to you, then start here to learn After Effects:
