  Composite Higgs models predict the existence of resonances. We study in
detail the collider phenomenology of both the vector and fermionic resonances,
including the possibility of both of them being light and within the reach of
the LHC. We present current constraints from di-boson, di-lepton resonance
searches and top partner pair searches on a set of simplified benchmark models
based on the minimal coset $SO(5)/SO(4)$, and make projections for the reach of
the HL-LHC. We find that the cascade decay channels for the vector resonances
into top partners, or vice versa, can play an important role in the
phenomenology of the models. We present a conservative estimate for their reach
by using the same-sign di-lepton final states. As a simple extrapolation of our
work, we also present the projected reach at the 27 TeV HE-LHC and a 100 TeV
$pp$ collider.
