We explore two open cavity-qubit systems linked via an optical fiber. The generation of
non-local correlations (NLCs) between the two qubits, via skew-information and Bell-function, are
investigated under the effects of the physical parameters of the initial state and the interaction couplings of the cavity-qubit and the cavity-fiber and the environment. It is found that the robustness
and the generation of the NLCs depend on the physical parameters. Under the condition that the
cavity-qubit couplings is much smaller than the cavity-fiber coupling, the regularity of the growth
and the oscillations of the NLCs are enhanced and are more robust