We study the Magnetized Strange Quark Matter (MSQM) solutions for Bianchi type-I universe in the two models of modified gravity f (R, T ) in presence of variable cosmological term Λ = Λ(t). The models are characterized by the functions of the forms =f (R, T ) R + 2μT and μ(R + T ) based on the plausible relations. The results indicate that, although the magnetic flux (as a byproduct of the models) does not appear, the models can exhibit de-Sitter like manifestations or situations resembling the cosmological standard model in the early or late times of the universe evolution. Some physical aspects of models are also discussed.
