<p>Considering the quantum memory channel, we investigate the connection between quantum correlation and coherence for correlated channels. Initially, various results were obtained by considering the action of noise channels on the initial state. The quantum correlation behavior does not increase by the quantum operation or by the action of noise channel. Similarly, coherence remains slow for various initial states under correlated channels. In this work, we observed the decrement of quantum correlation and coherence, which can be improved by choosing the initial state and by adjusting the parameters. Our results provide valuable insight into defining the robustness of the pure state in comparison with the mixed state under correlated channels, which offers practical solutions for quantum information processing task.</p>