  Within the scope of $f(R,\,T)$ gravity we have studied the interacting scalar
and electromagnetic fields in a Bianchi type I universe. It was found that if
the study is confined to the case $f(R,\,T) = R + \lambda f(T)$, the system is
completely given by the equations similar to Einstein gravity. Moreover, the
present study imposes some severe restrictions on the field equations as well.
