Interacting extended Chaplygin gas cosmology in Lyra Manifold

The subject of our interest is an extended Chaplygin gas cosmology. In Literature a variety of cosmological models exist studying the behavior of the universe in the presence of the Chaplygin gas. From its initial form Chaplygin gas evolved and accepted different EoS-s and we will work with one of them. The main purpose of this work is to study behavior of the universe in Lyra Manifold with a varying Effective $\Lambda$-Term, which gives us modified field equations. We are also interested in the behavior of the universe in the case of an existing coupling between the quintessence DE and extended Chaplygin gas. We applied observational constraints and causality issue on our model to separate physically relevant behavior of the phenomenological model.