As the annihilation contributions play important roles in solving the puzzle of the small longitudinal polarizations in B -> K-*phi decays, we examine similar effects in the decays of B -> K-0,2(*)(1430)phi. For the calculations on the annihilated contributions, we adopt that the form factors in B -> K-(*)phi decays are parameters determined by the observed branching ratios (BRs), polarization fractions, and relative angles in experiments, and we connect the parameters between B -> K-0(2)(*)phi and B -> K-(*)phi. We find that the BR of B-d -> K-0(*0)(1430)phi is (3.69 +/- 0.47)x10(-6). We show that the BR of B-d -> K-2(*0)(1430)phi is (1.70 +/- 0.80)x10(-6) in the 2nd version of the Isgur-Scora-Grinstein-Wise (ISGW2) model, whereas it can be a broad range of values in the light-front quark model. In terms of the recent BABAR observations on BRs and polarization fractions in B-d -> K-2(*0)(1430)phi, the results in the light-front quark model are found to be more favorable. In addition, due to the annihilation contributions to B -> K-2(*)phi and B -> K-*phi being opposite in sign, we demonstrate that the longitudinal polarization of B-d -> K-2(*0)(1430)phi is always O(1) with or without including the annihilation contributions.