In this talkwe will present various models that can explain simultaneously the production of dark matter and the observed baryon asymmetry of the Universe. In particular, we will discuss scenarios, where the relevant processes are due to higher-dimensional, non-renormalizable operators with dim \(=\) 5 or 6. These operators are effective close to the reheating temperatures. Moreover, we see that additional cosmic component has a significant impact on the predictions of concrete microscopic models, allowing for reheating temperatures which are much lower than those required in the simplest cosmological scenario.