Anisotropic universe models in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity

We investigate the cosmological reconstruction in an anisotropic universe for both the homogeneous and inhomogeneous content of the universe. Special attention is given to three interesting cases: Bianchi type I, Bianchi type III, and Kantowski-Sachs models. The de Sitter, power-law, and general exponential solutions are assumed for the scale factor in each spatial direction and the corresponding cosmological models are reconstructed. Moreover, for the general exponential solutions---from which the de Sitter and power-law solutions may be obtained---we obtain models which reproduce the early Universe (assuming inflation) and the late-time accelerated expanding Universe. The models obtained for the late-time Universe are consistent with a known result in the literature where a power-law type correction in $T$ is added to a power-law type of $f(T)$ for guaranteeing the avoidance of the big rip and the big freeze.

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