  In this paper, we investigate the existence of asymptotically flat wormhole
geometries within the framework of Rastall-Rainbow modified gravity, a
synthesis of two distinct theoretical models: Rastall theory and the Rainbow
description. Our study uncovers that, when considering specific combinations of
free parameters and equations of state, the emergence of static and spherically
symmetric wormholes is not feasible within a zero-tidal-force context. By
considering the subset of viable solutions, we conduct a rigorous assessment of
their stability through adiabatic sound velocity analysis and scrutinize their
compliance with the Weak Energy Condition (WEC). In summary, our inquiry
provides insights into how the interplay between Rastall parameters and Rainbow
functions may alleviate violations of energy conditions in these modified
gravity scenarios.
