In the present article, we have studied the modified field equations for static, spherically symmetric spacetime in a more extended f(T,B,T) gravity in the framework of teleparallel geometries. In order to apply this gravity, we have explored anisotropic strange star configurations with the electromagnetic field. For this purpose, we have chosen off-diagonal tetrad fields to represent gravitational interaction. Also, a linear relationship between radial pressure and energy density through Bag constant C, defined as MIT Bag equation of state, has been employed to describe the strange quark matter distribution. A lot of tests have been done in the context of our solutions to confirm the stability and physical acceptability of our obtained stellar structure. In this connection, we have demonstrated a lot of graphs for two selected known compact stars VelaX−1 and SAXJ1808.4−3658, with respect to our calculations. Again, the significant role of T in our stellar configuration has been displayed by plotting all graphs for five selected values of β, the coefficient parameter of T in the functional form f(T,B,T). Finally, we have observed that stability criteria and physically well-behaved nature for thermodynamical parameters holds good to represent a strange star configuration in this model, corresponding to our considered constant parameters explicit expressions. Hence this proposed model becomes viable and acceptable to study strange star configuration in f(T,B,T) gravity.