This work continues the series of our studies on the basic principles in the organization of natural light-harvesting antennae, which we theoretically predicted for the optimal model light-harvesting systems, initiated by our concept of the rigorous optimization of photosynthetic apparatus structure by functional criterion. This approach allowed us to determine several main principles in the organization of the natural systems. This work deals with the problem of the structure optimization of heterogeneous superantennae of photosynthetic green bacteria, consisting of several uniform subantennae, which raises the problem of their optimal coordination. Here we used mathematical modeling of the functioning of these natural superantennae to consider a possible optimization of this process via optimizing the mutual spatial orientation of Qy transition dipole vectors of the light-harvesting molecules in neighboring subantennae. This allowed us to determine possible modes for optimal orientational ordering of Qy transition dipoles of subantenna molecules in the model of green bacterium Chloroflexus aurantiacus superantenna. The calculations have demonstrated that the optimal mutual spatial orientation of the of Qy dipoles in subantenna pigments leads to a stable minimization of the energy transfer time within superantennae and, consequently, a decrease in the energy losses, thereby ensuring a high efficiency and stability of the overall superantenna function.