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We explore the emergence of various dynamic states within neurons interconnected in a multiplex setting with higher-order coupling. Using the Hindmarsh–Rose model as a representation of multiplex network dynamics, we examine scenarios where the primary layer is interacting through higher-order synaptic coupling while the secondary layer exhibits higher-order electric coupling. We examine the behavior of neurons within each layer individually and identify various emerging activity patterns, including synchronization, amplitude and oscillation death. When combining both layer through feedback mechanisms, we notice that the phenomenon of oscillation death shifts from the first layer to the second as the intralayer coupling intensifies. Multiplexing can also induces oscillation death in both the layers even when first layer is uncoupled. We also show that increasing the strength of synaptic coupling results in revival of oscillation in both the layers. • We investigate a two-layer network where the first layer interacts through higher-order synaptic coupling, while the second layer is coupled with higher-order electric coupling. • Utilizing the Hindmarsh Rose model as the nodal dynamics of the coupled system, we report the occurrence of synchronization and oscillation death in the first layer, which can be transmitted to the second layer as the intralayer coupling intensifies. • Furthermore, we observe the revival of oscillation in both layers by increasing the strength of synaptic coupling. [ABSTRACT FROM AUTHOR]