We report the production of a hybrid nanostructure combining ferroelectric and antiferromagnetic ordering based on toroidal nanoparticles of barium titanate and an iron-cobalt nanoalloy. The methods of optical and magneto-optical spectroscopy revealed a change in the coordination of 3D metal ions in the composition of FeCo after high-temperature annealing in the presence of barium titanate, and a study of the magnetic properties showed a change in the predominant alignment of spins from superparamagnetic to antiferromagnetic type. In addition, the sample exhibits optically nonlinear properties.