  We consider an extended scalar-tensor theory of gravity where the action has
two interacting scalar fields, a Brans-Dicke field which makes the effective
Newtonian constant a function of coordinates and a Higgs field which has
derivative and non-derivative interaction with the lagrangian. There is a
non-trivial interaction between the two scalar fields which dictates the
dominance of different scalar fields in different era. We investigate if this
setup can describe a late-time cosmic acceleration preceded by a smooth
transition from deceleration in recent past. From a cosmological reconstruction
technique we find the scalar profiles as a function of redshift. We find the
constraints on the model parameters from a Markov Chain Monte Carlo analysis
using observational data. Evolution of an effective equation of state, matter
density contrast and thermodynamic equilibrium of the universe are studied and
their significance in comparison with a LCDM cosmology is discussed.
