@SaalHardali Probably the main useful result in cd structures (which is the main result in the paper that Denis cited) is that if it's complete and regular, excision <--> Cech descent . Furthermore, when its also bounded (which is more or less equivalent to finite cohomological dimension), excision <--> hyperdescent. A proof in a more intelligible notation can be found in
arxiv.org/pdf/1506.07093.pdf (3.2.5) or
arxiv.org/pdf/1610.06871.pdf (2.2.7)