  The quasi-Frobenius-Lusztig kernel ${Q}\mathbf{u}_{q}(\mathfrak{sl}_{2})$
associated with $\mathfrak{sl}_{2}$ has been constructed in \cite{Liu}. In this
paper we study the representations of this small quasi-quantum group. We give a
complete list of non-isomorphic indecomposables and the tensor product
decomposition rules for simples and projectives. A description of the
Grothendieck ring is provided.
