  Tensor hierarchy of Exceptional Field Theories contains gauge fields
satisfying certain Bianchi identities with source part governing interaction
with standard and exotic branes. These are responsible for tadpole cancellation
in compactification schemes and provide consistency constraints for
cosmological model building. Analysis of reduction of (10+10)-dimensional DFT
into (D+d+d)-dimensional split DFT allows to consider all Bianchi identities of
the theory in the form analogous to the ExFT approach. Here we review in
details and elaborate on these ideas.
