Method for operating a hearing aid device system for the binaural supply of a user

In a hearing aid device system with a hearing aid device which can be worn on or in the left ear of a user and a hearing aid device which can be worn on or in the right ear of the user for the binaural supply of the user, the aim is to reduce feedback tendency. To this end, it is proposed to transmit audio signals resulting from the microphone signals of the hearing aid devices in a crosswise fashion between the hearing aid devices and thus to emit an acoustic signal recorded by the microphone of a hearing aid device, after the signal processing and amplification, by means of the receiver of the respective other hearing aid device. In this way, the distance between each receiver and microphone, between which a feedback path exists, is essentially increased for the relevant audio signals.