  We discuss the cosmological implications of an extended Brans-Dicke theory
presented recently, in which there is an energy exchange between the scalar
field and ordinary matter, determined by the theory. A new mass scale is
generated in the theory which modifies the Friedmann equations with
field-dependent corrected kinetic terms. In a radiation universe the general
solutions are found and there are branches with complete removal of the initial
singularity, while at the same time a transient accelerating period can occur
within deceleration. Entropy production is also possible in the early universe.
In the dust era, late-times acceleration has been found numerically in
agreement with the correct behaviour of the density parameters and the dark
energy equation of state, while the gravitational constant has only a slight
variation over a large redshift interval in agreement with observational
bounds.
