Why moisturisers and essential oils cause formation wrinkles around my eyes and leave my skin dry?

I have a dry skin and every time I used a moisturiser, I noticed my skin is drier, so I decided to stop using any kind of moisturiser since my skin without them looked way better. Recently, I started using organic shea butter, organic sweet almond oil, organic jojoba oil, and organic argan oil, all pure. After applying them, I noticed huge wrinkle increase around my eyes that don't go away and my skin feels dryer after washing the products from my face. Why? and what product should I use then?

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