Can I make my eyes look better? How could I make my eyes and eyebrows look like on the second picture?

Hi GiornoIn the picture of how you are now, you appear to have a more projected, and more prominent orbit (the skeleton of the face in which the eyeball sits), and your eye is further forward on your right than the left. This makes the position of the eyebrow and the relative balance of the upper and lower eyelids to the eye a little asymmetric.
The second picture of how you would like to appear suggests that you would prefer a little more symmetry.
It is possible to achieve a more symmetric upper ‘eyelid show’ with upper blepharoplasty and skin crease reformation surgery. We can also lift and shape the brows with endobrow surgery.
What you must bear in mind is that picture 2 has been photographically manipulated and It is not possible to guarantee such a raised brow and the degree of lift will be achievable as it is dependant on your age, quality of skin and hair style.
Your lower eyelid shape is volume depleted on both sides, and not symmetrical, and this could be addressed with 'volumising' lower eyelid blepharoplasty.

Your upper eyelids are heavy. To compensate, your brain sends a signal to the forehead to lift. That is the basis for your compensatory eyebrow elevation. By repairing the upper eyelid ptosis, the eyebrows will relax to a more natural and youthful position. During that surgery, I would also recommend an anchor blepharoplasty to control the firmness of the upper eyelid platform and lift the upper eyelid lashes. Your eyes can be your best feature.