The Mpemba effect, originally observed in classical systems, refers to the faster freezing of a hotter liquid compared to a colder one. This effect has been generalized to include anomalous decays of classical and quantum observables. The study investigates the Mpemba effect in nonequilibrium quantum systems, where the system is in contact with two different baths and approaches a nonequilibrium steady state (NESS) rather than an equilibrium state. The authors show that the nonequilibrium conditions significantly expand the parameter regimes where the Mpemba effect emerges. They demonstrate that both anomalous and inverse Mpemba effects can occur in the evolution of quantum correlations in a two-site fermionic system, and that these effects can be expedited or delayed by the nonequilibrium conditions. Additionally, they show that quantum coherence, sustained by the nonequilibrium conditions, plays a crucial role in the emergence of the Mpemba effect, which conventional Lindbladian dynamics fails to capture. The study opens up new avenues for experimental investigations of the Mpemba effect in quantum systems.The Mpemba effect, originally observed in classical systems, refers to the faster freezing of a hotter liquid compared to a colder one. This effect has been generalized to include anomalous decays of classical and quantum observables. The study investigates the Mpemba effect in nonequilibrium quantum systems, where the system is in contact with two different baths and approaches a nonequilibrium steady state (NESS) rather than an equilibrium state. The authors show that the nonequilibrium conditions significantly expand the parameter regimes where the Mpemba effect emerges. They demonstrate that both anomalous and inverse Mpemba effects can occur in the evolution of quantum correlations in a two-site fermionic system, and that these effects can be expedited or delayed by the nonequilibrium conditions. Additionally, they show that quantum coherence, sustained by the nonequilibrium conditions, plays a crucial role in the emergence of the Mpemba effect, which conventional Lindbladian dynamics fails to capture. The study opens up new avenues for experimental investigations of the Mpemba effect in quantum systems.