  Strongly anisotropic spin-orbit coupling (SOC) renormalization and strongly
enhanced orbital magnetic moments are obtained in the fully self consistent
approach including the orbital off-diagonal spin and charge condensates. For
moderate tetragonal distortion as in $\rm Ca_2 RuO_4$, dominantly planar
antiferromagnetic (AFM) order with small canting of moments in and about the
crystal $c$ axis are obtained. For reduced tetragonal distortion, we find a
tunable regime wherein the magnetic order can be tuned (AFM or FM) by the bare
SOC strength and octahedral tilting magnitude. In this regime, with decreasing
tetragonal distortion, AFM order is maintained by progressively decreasing
octahedral tilting, as observed in $\rm Ca_{2-x}Sr_x RuO_4$. For purely planar
order, the only self consistent solution is FM order along crystal $b$ axis,
which is relevant for the bilayer ruthenate compound $\rm Ca_3 Ru_2 O_7$.
