In this paper, we study the representations of a family of pointed Hopf algebras of rank two: the tensor product of two Taft algebras, its two cocycle deformations. It is shown that the projective class rings of the three Hopf algebras are commutative rings generated by three elements, three elements and two elements subject to some relations, respectively. It turns out that even they are cocycle twist-equivalent to each other, they are of different representation types: wild, wild and tame, respectively.

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