Double Mandel'shtam-Brillouin scattering (DSBS) nonlinear theory in laser-produced plasma is presented. DSBS is characterized by the nonlinear coherent interaction of the pump wave components incident on a plasma and reflected from the critical surface with the scattered Stokes components. The excitation thresholds and the stationary nonlinear states corresponding to the main and the higher scattering modes are examined taking into account the effects of electromagnetic wave absorption and density and temperature inhomogeneity. It is shown, that under strong electromagnetic wave absorption DSBS is generated from the relatively narrow rarefied plasma region. For the principal DSBS mode weak excitation takes place whereas for the higher modes hard excitation regimes are revealed.