In partially magnetized plasmas, in which the electrons are magnetized and the ions are unmagnetized, it is known that the cross-field electron transport does not follow the classical transport theory, assuming collisional transport. Recent studies suggest that plasma waves driven by kinetic instabilities lead to the enhanced transport and diffusion of electrons across the magnetic fields. One example of such instabilities is the electron cyclotron drift instability (ECDI) due to the \mathrm{E}\times \mathrm{B} drift. For partially magnetized plasmas with multiple ion species, ion-ion two stream instability (IITSI) may also be present. Previous work 1 has demonstrated that, in the presence of cold ions, three-dimensional (3D) ECDI and IITSI couple such that the resulting mode is no longer a superposition of the two instabilities. In this talk, we extended the capabilities of the 3D generalized dispersion solver to include the effects of the ion temperature. The impact of ion Landau damping 2 on the development of coupled ECDI-IITSI is investigated, including the effects of anisotropic ion temperature. The resulting growth rates and phase velocities will be calculated as a function of wavenumber for various plasma conditions and compared with experimental observations.