We have studied a system consisting of two-coupled quantum dots containing two electrons subjected to a laser field. The effect of the laser is described by the dressed-band approach involving the concept of the conduction/valence effective mass, valid far from resonance. The interaction between the electrons and the quantum dots is described by a phenomenological tridimensional potential, which simulates quantum dots in GaAs heterostructures. In this study we have employed the approach already presented in a previous work (Olavo L S F et al 2016 J. Phys. B: At. Mol. Opt. Phys. 49 145004). We have used a code based on the full interaction configuration method. We have employed the Cartesian anisotropic Gaussian-type orbitals as a basis set, which allows one to explore the confining characteristics of a potential due to their flexibility when using different exponents for each direction in space. We present an analysis based on the energy levels of the singlet and triplet as function of the confinement parameters.