  In the $SO(2,d)$ gauge theory formalism of AdS gravity established in
arXiv:1811.05286, the dynamics of bulk gravity is emergent from the vanishing
of the boundary covariant anomaly for the $SO(2,d)$ conservation law. Parallel
with the known results of chiral anomalies, we establish the descendent
structure of the holographic $SO(2,d)$ anomaly. The corresponding anomaly
characteristic class, bulk Chern-Simons like action as well as the boundary
effective action are constructed systematically. The anomalous conservation law
is presented both in terms of the covariant and consistent formalisms. Due to
the existence of the ruler field, not only the Bardeen-Zumino polynomial, but
also the covariant and consistent currents are explicitly constructed.
