You have inherited very oily skin.  The upside of having very oily skin is that you much less likely to become dehydrated.  If you do it's probably due to poor product choices. You can use stronger products but cautiously avoid overly hash or dehydrating formulas that contain alcohol or detergents. Still, you need to keep your pores clean and remove excess product from your skin.  

Exfoliation is important.  You may need to use a more potent scrub.  Yet stay away from scrubs that foam up or have jagged particles that may lead to breakouts.  An oil free moisturizer is important to stave off dehydration - which will only serve to trap oil under your skin and clog pores.