[Skin Concerns] Every moisturizer and chemical exfoliator I have used so far has made my skin very shiny and oily. What could I do?

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I have never had any problems with my skin. No break outs, no blemishes, nothing. However, as soon as I apply moisturizer or chemical exfoliator my skin transforms into something else. My skin becomes really shiny and oily. This texture is gone by the time I wake up the next day, but if I keep using the product for one or two more days my skin becomes "permanent." I have absolutely no clue what could be causing it. I do OCM in the evening followed by Eucerin Gentle Cleansing Milk. Tried sooo many different facial products and the only ones I can't tolerate are moisturizers and chemical exfoliators. It's really stressing me out, since my skin needs to be exfoliated really bad, and it could use some moisturization too. :( What could be the reason behind this? What should I do to keep my skin exfoliated and moisturized? Any recommended products?
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Submitted by dorixoxo