On the transcendence of real numbers with a regular expansion

We apply the Ferenczi–Mauduit combinatorial condition obtained via a reformulation of Ridoutʹs theorem to prove that a real number whose b-ary expansion is the coding of an irrational rotation on the circle with respect to a partition in two intervals is transcendental. We also prove the transcendence of real numbers whose b-ary expansion arises from a non-periodic three-interval exchange transformation.