How do dark matter cores and bulgeless galaxies form? These common properties of galaxies have been hard to explain within the Cold Dark Matter scenario and have been often referred as the 'core catastrophe' and the angular momentum problem'. I will propose and successfully test a complete physical model based on SNe and Super Massive Black Holes feedback and resulting rapid gas outflows that solves both these fundamental problems. I will present results from a new set of cosmological simulations to make predictions on the dark matter and baryon distribution in galaxies over a range of halo masses going from ultra faint dwarfs to spiral galaxies.