As a continuation of our prior article, we study new pattern formations of ground states (u_1,u_2) for two-component Bose-Einstein condensates (BEC) with homogeneous trapping potentials in \mathbb{R}^2, where the intraspecies interaction (-a,-b) and the interspecies interaction -\beta are both attractive, i.e., a, b, and \beta are all positive. If 0<b<a^*:=\Vert w\Vert^2_2 and 0<\beta <a^* are fixed, where w is the unique positive solution of \Delta w-w+w^3=0 in \mathbb{R}^2, the semi-trivial behavior of (u_1,u_2) as a\nearrow a^* is proved in the sense that u_1 concentrates at a unique point and while u_2\equiv 0 in \mathbb{R}^2. However, if 0<b<a^* and a^*\le \beta <\beta ^*=a^*+\sqrt {(a^*-a)(a^*-b)}, the refined spike profile and the uniqueness of (u_1,u_2) as a\nearrow a^* are analyzed, where (u_1,u_2) must be unique, u_1 concentrates at a unique point, and meanwhile u_2 can either blow up or vanish, depending on how \beta approaches a^*.