The collider phenomenology of a strongly interacting electroweak symmetry breaking sector is studied. We use the Electroweak Chiral Lagrangian (EChL) and the Inverse Amplitude Method (IAM). And generate a MadGraph v5 UFO model, which includes the beyond Standard Model (BSM) interactions via effective vertices in the framework of a Proca Lagrangian. The constants of the Proca Lagrangian are adjusted to resemble those of the unitarized matrix elements. This project is a continuation of a previous analysis of the elastic scattering $w^+z\to w^+z$, extended to include processes involving $w^+w^-\to w^+w^-$. Several channels (fully leptonic and semileptonic) are being considered. Our final goal would be providing a complete and tested MadGraph v5 UFO model for the phenomenology of Vector Boson Scattering of the EChL unitarized via IAM, for the phenomenology and experimental community.