Objectives: In the f(R, T) theory of gravity, to examine the Bianchi type-I model with dark matter and Tsallis holographic dark energy (THDE). Method: To acquire exact solutions of the field equations, we used THDE density and two separate volumetric expansions. The model's physical properties are compared to current observational evidence. Findings/ Novelty: The universe is in accelerating stage for both volumetric expansion models and it reaches isotropy at a delayed time, according to the study of the deceleration parameter. In addition, our model acts as a lambda model.