A model based on a extension of the Standard Model can address the mass hierarchy between the third and the first two generations of fermions, explain thermal dark matter abundance, and the muon and anomalies. The model contains a light scalar boson and a heavy vector-like quark that can be probed at CERN's Large Hadron Collider (LHC). We perform a phenomenology study on the production of and particles from proton-proton collisions at the LHC at TeV primarily through and fusion. We work adopt a phenomenological framework, an effective field theory approach, in which the and masses are free parameters and consider the final states of the decaying to -quarks, muons, and MET from neutrinos and the decaying to . The analysis is performed using machine learning algorithms, over traditional methods, to maximize the signal sensitivity with integrated luminosities of of , and fb. Further, we note the proposed methodology can be a key mode for discovery over a large mass range, including low masses, traditionally considered difficult due to experimental constraints.