Frauding is an art itself.
This thread covers make-up to fraud projected infraorbitals.
Concealer
I can recommend getting a liquid concealer as those don't crease.
If you want to use another concealer: Cover the creases with make-up.
Choosing the right concealer
This can be a bit hard. Use one from reputable brands.
Also go for a shade lighter than your skin to achieve a brigthening effect.
Applying it
- Apply moisturizer or eye cream first.
- Dab concealer in a triangle shape under the eye.
- Use a sponge to blend it in.
- Set with a tiny amount of finely milled translucent powder to avoid creasing.
Product recommendations
Fit Me Concealer
5-7 bucks.
Radiant Creamy Concealer
18-25 bucks.

Shape Tape™- Concealer
25-30 bucks.

That's it for the concealer part.
What else to do?
If you don't want to apply make-up for whatever reason you can cope with eye pads.

They will hydrate your skin and slightly lighten your undereyes.
Just watch out for any excess burning sensations or bad ingredients.
Eye pads are extremely cheap and can be bought anywhere.
They go around for around 1-2 bucks max.