  In the present article, models of traversable wormholes within the $f(R, T)$
modified gravity theory are investigated. We have presented some wormhole
models, developed from various hypothesis for the substance of their matter,
i.e. various relationships with their components of pressure (lateral and
radial). The solutions found for the shape functions of the wormholes produced
complies with the required metric conditions. The suitability of solution is
examined by exploring null, strong and dominant energy conditions. It is
surmised that the normal matter in the throat may pursue the energy conditions
yet the gravitational field exuding from the adjusted gravity hypothesis
support the appearance of the non-standard geometries of wormholes.
