The four new phosphates BaCO3P4O14 (1), SrCO3P4O14 (2), BaMn3P4O14 (3), and SrMn3P4O14 (4) were hydrothermally synthesized and characterized structurally and magnetically. They are isostructural with ANi(3)P(4)O(14) (A = Ca, Sr, Pb, Ba), crystallizing in the monoclinic space group P2(1)/c. The CoO6 (or MnO6) octahedra share edges to from zigzag chains along the b axis, which are further interconnected by P2O7 groups into a three-dimensional structure. Preliminary magnetic measurements on powder samples indicate that 1, 2, and 4 are spin-canted antiferromagnets and 3 is a pure antiferromagnet at low field; long-range orderings were established respectively at T-critical approximate to 8.2 K for 1, 6.5 K for 2, and 2.6 K for both 3 and 4; field-induced spin-flop-like transitions occur respectively at H-c approximate to 25 kOe for 1, 4 kOe for 2, 3 kOe for 3, and 0.7 kOe for 4. Interestingly, together with the known Ni analogues, they all apply the same antiferromagnetic-antiterromagnetic-ferromagnetic (AAF) trimerized chain model, whereas the 1/3 quantum magnetization plateau only appears in the Mn system. By qualitative analysis, we conclude that the appearance of quantum magnetization plateaus in the AAF chain compounds requires both good 1 D characteristics and strong AF intrachain interactions.