the parameters of $\rho_A$ and $\phi_A$ in nonfactorizable annihilation topologies $A^{i}_{k}$ \[see Eq.(\[xai12\],\[xai3\])\] should be different from those in factorizable annihilation topologies $A^{f}_{k}$ \[see Eq.(\[xaf3\])\]. (1) For factorizable annihilation topologies, i.e., the gluon emission from the final states Fig.\[diag\](c,d), the flavor symmetry breaking effects are embodied in the decay constants, because the asymptotic light-cone distribution amplitudes of final states are the same. In addition, all decay constants have been factorized outside from the hadronic matrix elements of factorizable annihilation topologies. So $A^{f}_k$ is independent of the initial state, and is the same for $B_{u,d,s}$ annihilation decays to two light pseudoscalar mesons, that is to say, $\rho^f_A$ and $\phi^f_A$ should be universal for $B_{u,d,s}$ $\to$ $PP$ decays. (2) For nonfactorizable annihilation topologies, i.e., the gluon emission from the initial $B$ meson Fig.\[diag\](a,b), besides the factorized decay constants and the same asymptotic light-cone distribution amplitudes, $B$ meson wave functions $\Phi_{B}(\xi)$ are involved in the convolution integrals of hadronic matrix elements. Hence, $A^{i}_k$ should depend on the initial state and be different for $B_{u,d}$ from $B_{s}$ meosn due to flavor symmetry breaking effects, i.e., parameters of $\rho^i_A$ and $\phi^i_A$ should be non-universal for $B_s$ and $B_{u,d}$ meson decays, and be different from parameters 