  We study dissipative spin-spin coupling in dispersive regime mediated by
virtual photons in a microwave cavity. Dissipative coupling between
magnetization of each magnetic material and the cavity photons is established
by means of two phase shifted driving forces acting on each magnetization. We
show that when only one of the magnetization is dissipatively coupled to the
cavity, the cavity-mediated spin-spin coupling too, exhibits mode level
attraction in the spectrum. By tuning the phase parameter at each ferromagnetic
insulator we can shift the order of "dark" and "bright" collective modes with
phase difference equal to 0 or \pi. Moreover, by selectively applying the phase
shifted field it is possible to construct "dark" and "bright" collective modes
with phase difference equal to \pm \pi/2:
