In this work we study the electronic and transport properties of an artificial diatomic molecule consisting of two quantum dots connected to two leads under the effect of an applied potential. Each dot is described by one energy level in which the electrons are supposed to be strongly correlated due to intra-dot and inter-dot Coulomb interaction. Two topologies are considered for the system: one corresponds to two dots along a conducting line and the other in a parallel configuration. The problem is treated using the out-of-equilibrium Green function Keldysh formalism. The Green functions permit the calculation of the charge in the dots and the electronic current of the system. The physics is controlled mainly by the various Coulomb interactions. For the parallel configuration there are two interfering channels for the electron to go along the system, which properties depend upon the state of charge of each dot. For the serial configuration the current is controlled by the possibility of the charge to be drained from one dot to the other. The state of charge at each dot and the electronic current are discussed in detail for the two configurations and for different values of the parameters that define the system.