Periodic arrays of metal nanostructures can host lattice resonances, which arise from coherent scattering between many structures in the lattice. These resonances are highly tunable with high quality factors and have found applications in lasers, biosensors, and metaoptics. Using bipartite lattices that have two structures per unit cell allows the sub/superradiant nature of the lattice resonances to be controlled, giving smaller line widths, multiple resonances, and resilience to finite-sized effects. In this work, we investigate the spectral and near-field properties of surface lattice resonances supported by asymmetric bipartite lattices. We show that these lattices host hybridized dipole resonances that can be elliptically polarized due to the overlap of two orthogonal resonances. We also show that, due to this, these resonances have a nontrivial phase relationship between orthogonal lattice resonances, which could expand the application of surface lattice resonance to vector and vortex beam generation with nonlinear polarizations. We demonstrate how these resonances can be controlled by changing the separation of the structures. Furthermore, we investigate the effect of changing the structure sizes and show that bound states in the continuum can be achieved when the structure sizes are equal.