  For any regular Lie algebroid $A$, the kernel $K$ and the image $F$ of its
anchor map $\rho_A$, together with $A$ itself fit into a short exact sequence,
called Atiyah sequence, of Lie algebroids. We prove that Atiyah and Todd
classes of dg manifolds arising from regular Lie algebroids respect the Atiyah
sequence. That is, the Atiyah and Todd classes of $A$ restrict to the Atiyah
and Todd classes of the bundle $K$ of Lie algebras on the one hand, and project
onto the Atiyah and Todd classes of the integrable distribution $F \subseteq
T_M$ on the other hand.
