  We study the effects of crosscorrelations of noises on the scaling properties
of the correlation functions in a reduced model for Magnetohydrodynamic (MHD)
turbulence [A. Basu, J.K Bhattacharjee and S. Ramaswamy [{\em Eur. Phys. J B}
{\bf 9}, 725 (1999)]. We show that in {\em dimension d} crosscorrelations with
sufficient long wavelength singularity become relevant and take the system to
the long range noise fixed point. The crosscorrelations also affect the ratio
of energies of the magnetic and velocity fields ($E_b/E_v$) in the strong
coupling phase. In dimension $d=1$ the fluctuation-dissipation theorem (FDT)
does not hold in presence of short range crosscorrelations. We discuss the
possible effects of crosscorrelations on the scaling properties of fully
developed MHD turbulence.
