  This work deals with thick braneworld models, in an environment where the
Ricci scalar is changed to accommodate the addition of two extra terms, one
depending on the Ricci scalar itself, and the other, which takes into account
the trace of the energy-momentum tensor of the scalar field that sources the
braneworld scenario. We suppose that the scalar field engenders standard
kinematics, and we show explicitly that the gravity sector of this new
braneworld scenario is linearly stable. We illustrate the general results
investigating two distinct models, focusing on how the brane profile is changed
in the modified theories.
