  We briefly review the generalized dynamical mean-field theory DMFT+Sigma
treatment of both repulsive and attractive disordered Hubbard models. We
examine the general problem of metal-insulator transition and the phase diagram
in repulsive case, as well as BCS-BEC crossover region of attractive model,
demonstrating certain universality of single - electron properties under
disordering in both models. We also discuss and compare the results for the
density of states and dynamic conductivity in both repulsive and attractive
case and the generalized Anderson theorem behavior for superconducting critical
temperature in disordered attractive case. A brief discussion of Ginzburg -
Landau coefficients behavior under disordering in BCS-BEC crossover region is
also presented.
