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This paper is a continuation of the recent paper "CMV biorthogonal Laurentpolynomials: Christoffel formulas for Christoffel and Geronimustransformations" by the same authors. The behavior of quasidefinitesesquilinear forms for Laurent polynomials in the complex plane, characterizedby bivariate linear functionals, and corresponding CMV biorthogonal Laurentpolynomial families --including Sobolev and discrete Sobolev orthogonalities---under two type of Geronimus--Uvarov transformations is studied. Either thelinear functionals are multiplied by a Laurent polynomial and divided by thecomplex conjugate of a Laurent polynomial, with the addition of appropriatemasses (linear functionals supported on the zeros of the perturbing Laurentpolynomial in the denominator) or vice-versa, multiplied by the complexconjugate of a Laurent polynomial and divided by a Laurent polynomial. Theconnection formulas for the CMV biorthogonal Laurent polynomials, their norms,and Christoffel--Darboux kernels are given. For prepared Laurent polynomialsthese connection formulas lead to quasideterminantal (quotient of determinants)Christoffel formulas expressing an arbitrary degree perturbed biorthogonalLaurent polynomial in terms of $2N_{\mathfrak C}+2N_\Gamma$ unperturbedbiorthogonal Laurent polynomials, their second kind functions orChristoffel--Darboux kernel and its mixed versions. When the linear functionalsare supported on the unit circle, a particularly relevant role is played by thereciprocal polynomial, and the Christoffel formulas provide now with twopossible ways of expressing the same perturbed quantities in terms of theoriginal ones, one using only the nonperturbed biorthogonal family of Laurentpolynomials, and the other using the Christoffel--Darboux kernel and its mixedversions.

CMV biorthogonal Laurent polynomials. II: Christoffel formulas for Geronimus-Uvarov perturbations