  This work deals with braneworld models in the presence of scalar fields in a
five-dimensional warped geometry with a single extra dimension of infinite
extent. We consider generalized models in the presence of the Ricci scalar, the
trace of the stress-energy tensor and the cuscuton contribution. The models
describe novel braneworld scenarios and the investigations consider distinct
possibilities, from which we show how the brane may change to become thinner,
although keeping gravitational stability and the gravity zero mode under strict
control. Moreover, we did not identify any split behavior in the warp factor in
the presence of the cuscuton and the trace of the stress-energy tensor.
