Recently, Tsallis, R´enyi, and Sharma-Mittal entropies have widely been used to study the gravitational and cosmological setups.We consider a flat FRWuniversewith linear interactionbetween dark energy and darkmatter.We discuss the dark energymodels using Tsallis, R´enyi, and Sharma-Mittal entropies in the framework of Chern-Simons modified gravity.We explore various cosmological parameters (equation of state parameter, squared sound of speed ) and cosmological plane (𝜔𝑑 − 𝜔 𝑑, where 𝜔 𝑑 is the evolutionary equation of state parameter). It is observed that the equation of state parameter gives quintessence-like nature of the universe in most of the cases. Also, the squared speed of sound shows stability of Tsallis and R´enyi dark energy model but unstable behavior for Sharma-Mittal dark energy model. The 𝜔𝑑 − 𝜔 𝑑 plane represents the thawing region for all dark energy models.
