One of the signatures that quantify the dense QGP media is the transport coefficient measuring the transparency of the medium to the passage of a high momentum parton. In fact, it is claimed that the coefficient is sensitive to the energy of the collision giving rise to a discontinuity in the extracted value from RHIC (Relativistic Heavy Ion Collider) to LHC energies, referred to as the JetPuzzle. However, fundamentally the coefficient should be sensitive only to local medium parameters. Therefore the inability to extract universal parameters for observables at different energy scales point to the fundamental problems in understanding basic properties of jet quenching physics. The strength of the jet- medium interaction can be quantified by the jet transport coefficient which needs to be studied through analytical approximations complemented with a rigorous numerical approach through Monte Carlo (MC) codes for medium induced radiations. Effects such as hadronization, initial state radiations, medium and nucleus-nucleus collision modeling as well as systematic inclusion of the hard scatterings of medium constituents along with soft scatterings need to be implemented for an inclusive MC generator. We shall formulate strategies to include different scenarios for describing the jet medium interaction. In order to realize the above objectives, we shall firstly, implement detailed realistic medium dynamics, such as local expansion and flow, into the jet quenching formalisms to shed new light on the active degrees of freedom in the nuclear medium created in heavy-ion collisions.​​ We shall leverage the space-time structure of jet formation to gauge the sensitivity to medium dynamics at short distances. We will account for coherence effects in jets. Finally, we will perform phenomenological descriptions of final state observables like nuclear modification factor, elliptic flow, angular and momentum distributions (of charged particles) of jets traversing QGP.