In this work, the emission properties of double quantum dots driven by an intense monochromatic electromagnetic field, while undergoing resonant tunnelling, are investigated. We find the optically active energy transitions and their corresponding emission intensity, and compute resonance fluorescence spectra for different detunings between the direct and indirect exciton energies. The simulated emission exhibit either three, five, or seven peaks, tunable on demand. On the basis of the obtained results, our proposal offers efficient control of the resonance fluorescence of an artificial molecule, suitable for optoelectronic applications.