  Let $G$ be a linear semisimple algebraic group and $B$ its Borel subgroup.
Let $\mathbb{T}\subset B$ be the maximal torus. We study the inductive
construction of Bott-Samelson varieties to obtain recursive formulas for the
twisted motivic Chern classes of Schubert cells in $G/B$. To this end we
introduce two families of operators acting on the equivariant K-theory
$K_\mathbb{T}(G/B)[y]$, the right and left Demazure-Lusztig operators depending
on a parameter. The twisted motivic Chern classes coincide (up to
normalization) with the K-theoretic stable envelopes. Our results imply
wall-crossing formulas for a change of the weight chamber and slope parameters.
The right and left operators generate a twisted double Hecke algebra. We show
that in the type $A$ this algebra acts on the Laurent polynomials. This action
is a natural lift of the action on $K_\mathbb{T}(G/B)[y]$ with respect to the
Kirwan map. We show that the left and right twisted Demazure-Lusztig operators
provide a recursion for twisted motivic Chern classes of matrix Schubert
varieties.
