>It's only me or it does not explain how it works?

I'll try my best to explain, according to what I understand:

An electric field can re-orientate the liquid crystal molecules, which changes the speed of light within the liquid crystal, and thereby changes the liquid crystal's refractive index.

This changes the angle of light as it passes from other material (such as air or plastic or glass) into the liquid crystal, and that change of angle changes the focal point of the light ray.

That effect provides the ability to focus incoming light, controlled by electricity.

That's probably not exactly right, but it's better than the explanation in the original story, which is non-existent and also has a very confused reference to ITO (indium tin oxide), like you've noticed.