  In the present investigation compact stellar models are dealt with in the
framework of the modified gravity theory, specifically of
$f(\mathbb{T},\mathcal{T})$ type. We have considered that the compact objects
are following a spherically symmetric static metric and obtained the Einstein
field equations in the spacetime of $f(\mathbb{T},\mathcal{T})$. To make the
Einstein equations solvable we employ the methodology of conformal Killing
vectors. Thereafter by using the MIT bag equation of state to the compact
stars, considering that the stars are formed by strange quark, we find the
solutions set. The solutions are examined via several physical tastings which
exhibit viability of the model.
