  We examine the influence of strong on-site Coulomb interactions on
instabilities of the metallic state on the square lattice to general forms of
bond order. The Mott correlations are accounted for by the auxiliary-boson
method, and by dynamical mean field theory calculations, complementing our
recent work (arXiv:1402.4807) using Gutzwiller projected variational
wavefunctions. By the present methods, we find that the on-site Mott
correlations do not significantly modify the structure of the bond ordering
instabilities which preserve time-reversal symmetry, but they do enhance the
instability towards time-reversal symmetry breaking "staggered flux" states.
