  To inherit more features of full loop quantum Brans-Dicke theory, the
Euclidean and Lorentzian terms of the Hamiltonian constraint are quantized
independently in loop quantum Brans-Dicke cosmology. An alternative Hamiltonian
constraint operator and its effective expression are obtained in the
cosmological model. A residual quantum correction term is found in the
effective Hamiltonian constraint, which has no analog in the effective
Hamiltonian of the loop quantum cosmology from general relativity. The dynamics
driven by this effective Hamiltonian constraint is analyzed in detail. For the
physically interesting case of $\omega\gg 1$, this effective Hamiltonian drives
a bouncing evolution which evolves from a de Sitter universe to a classical
Brans-Dicke solution.
