In this study, we have examined the evolving wormhole solution within Einstein-massive gravity, considering traceless, barotropic, and anisotropic pressure fluids. We have conducted a comprehensive analysis of the constraints imposed by the constants derived from the wormhole solution. It is found that the wormhole throat, situated between two asymptotic universes, undergoes simultaneous expansion with acceleration. A detailed investigation of the energy conditions for traceless, barotropic, and anisotropic fluids suggests a wide range of possibilities for evolving wormhole configurations with non-exotic matter at the throat. The dependency of this feature on the various parameters arising from the study has also been examined.

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