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We study electroweak baryogenesis in the $SO(6)/SO(5)$ composite Higgs modelwith the third generation quarks being embedded in the $\textbf{20}'$representation of $SO(6)$. The scalar sector contains one Higgs doublet and onereal singlet, and their potential is given by the Coleman-Weinberg potentialevaluated from the form factors of the lightest vector and fermion resonances.We show that the resonance masses at $\mathcal{O}(1\sim 10{\rm ~TeV})$ cangenerate a potential that triggers the strong first-order electroweak phasetransition (SFOEWPT). The $CP$ violating phase arising from the dimension-6operator in the top sector is sufficient to yield the observed baryon asymmetryof the universe. The SFOEWPT parameter space is detectable at the futurespace-based detectors.

Electroweak baryogenesis and gravitational waves in a composite Higgs model with high dimensional fermion representations