  New physics field content in the nature, more specifically, from spin-1
resonances sourced by the extension of the SM local gauge symmetry to the
larger local group $SU(2)_L\otimes SU(2)_R\otimes U(1)_{B-L}$, may induce
CP-violation signalling NP effects from higher energy regimes. In this work we
completely list and study all the CP-violating operators up to the $p^4$-order
in the Lagrangian expansion, for a non-linear left-right electroweak chiral
context and coupled to a light dynamical Higgs. Heavy right handed fields can
be integrated out from the physical spectrum, inducing thus a physical impact
in the effective gauge couplings, fermionic electric dipole moment, and
CP-violation in the decay $h\rightarrow ZZ^*\rightarrow 4\,l$ that are briefly
analysed. The final relevant set of effective operators have also been
identified at low energies.
