This paper explores the possibility of explaining the observed dark matter (DM) relic abundance and matter-antimatter asymmetry through the evaporation of primordial black holes (PBHs) beyond the semi-classical approximation. The study considers the quantum effect of memory burden, which influences the evaporation process and the resulting particle production. PBHs with masses greater than approximately $10^3$ grams can produce the correct DM abundance, while lighter PBHs with masses less than $10^3$ grams are necessary for generating the correct baryon asymmetry. However, achieving both simultaneously is challenging due to the stringent Lyman-α constraint on warm dark matter mass. The paper investigates the impact of memory burden on dark radiation, which is constrained by the effective number of relativistic degrees of freedom, $ \Delta N_{eff} $. It also demonstrates how gravitational waves (GWs) induced by PBH density fluctuations can provide a window to test the memory-burden effects, thereby placing constraints on either the DM mass scale or the scale of leptogenesis. The study shows that the evaporation of PBHs can lead to the production of dark matter and baryon asymmetry, with the latter requiring a specific mass range for PBHs to avoid disrupting the formation of large-scale structures. The paper also discusses the implications of PBH evaporation on dark radiation and the constraints on the PBH mass from the Cosmic Microwave Background and Big Bang Nucleosynthesis. The results indicate that the quantum information retained in the memory acts back upon the system, contributing to its stabilization. The paper concludes that while the semi-classical approximation is not valid throughout the entire lifetime of a PBH, the memory-burden effect can significantly influence the evaporation process and the resulting particle production. The study highlights the potential of gravitational waves from PBH density fluctuations as a tool to test the memory-burden effects and constrain the parameters of the model.This paper explores the possibility of explaining the observed dark matter (DM) relic abundance and matter-antimatter asymmetry through the evaporation of primordial black holes (PBHs) beyond the semi-classical approximation. The study considers the quantum effect of memory burden, which influences the evaporation process and the resulting particle production. PBHs with masses greater than approximately $10^3$ grams can produce the correct DM abundance, while lighter PBHs with masses less than $10^3$ grams are necessary for generating the correct baryon asymmetry. However, achieving both simultaneously is challenging due to the stringent Lyman-α constraint on warm dark matter mass. The paper investigates the impact of memory burden on dark radiation, which is constrained by the effective number of relativistic degrees of freedom, $ \Delta N_{eff} $. It also demonstrates how gravitational waves (GWs) induced by PBH density fluctuations can provide a window to test the memory-burden effects, thereby placing constraints on either the DM mass scale or the scale of leptogenesis. The study shows that the evaporation of PBHs can lead to the production of dark matter and baryon asymmetry, with the latter requiring a specific mass range for PBHs to avoid disrupting the formation of large-scale structures. The paper also discusses the implications of PBH evaporation on dark radiation and the constraints on the PBH mass from the Cosmic Microwave Background and Big Bang Nucleosynthesis. The results indicate that the quantum information retained in the memory acts back upon the system, contributing to its stabilization. The paper concludes that while the semi-classical approximation is not valid throughout the entire lifetime of a PBH, the memory-burden effect can significantly influence the evaporation process and the resulting particle production. The study highlights the potential of gravitational waves from PBH density fluctuations as a tool to test the memory-burden effects and constrain the parameters of the model.