  We present a definition of twisted motivic Chern classes for singulars pairs
$(X,\Delta)$ consisting of a singular space $X$ and a $\mathbb Q$-Cartier
divisor containing the singularities of $X$. The definition is a mixture of the
construction of motivic Chern classes previously defined by
Brasselet-Schurmann-Yokura with the construction of multiplier ideals. The
twisted motivic Chern classes are the limits of the the elliptic classes
defined by Borisov-Libgober. We show that with a suitable choice of the divisor
$\Delta$ the twisted motivic Chern classes satisfy the axioms of the stable
envelopes in K-theory. Our construction is an extension of the results proven
by the first author for the fundamental slope.
