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In this paper we introduce and investigate the concept of reproducing pairswhich generalizes continuous frames. We will introduce a concept thatrepresents a unifying way to look at certain continuous frames (resp.reproducing pairs) on LCA groups, which can be described as continuousnonstationary Gabor systems and investigate conditions for these systems toform a continuous frame (resp. reproducing pair). As a byproduct we identifythe structure of the frame operator (resp. resolution operator). Moreover, weask the question, whether there always exist mutually dual systems with thesame structure such that the resolution operator is given by the identity, i.e.given $A:X\rightarrow B(\mathcal{H})$, if there exist$\psi,\varphi\in\mathcal{H}$, s.t. \begin{equation*}  f=\int_X \langle f,A(x)\psi\rangle A(x)\varphi d\mu(x),\ \ \forall f\in\mathcal{H} \end{equation*} and show that the answer is not affirmative. As acounterexample we use a system generated by a unitary action of a subset of theaffine Weyl-Heisenberg group in $L^2(\mathbb{R})$.

The continuous nonstationary Gabor transform on LCA groups with applications to representations of the affine Weyl-Heisenberg group