generating by a plurality of input transducers of the first hearing instrument a plurality of first input signals from a sound signal of the environment;

generating by a plurality of second input transducers of the second hearing instrument a plurality of second input signals from the sound signal of the environment;

determining a direction with respect to a preferred direction of the binaural hearing system and a distance from a reference point of the binaural hearing system, and thereby determining a focal point;

generating a first directional signal from the first input signals by directional signal processing, such that a direction of maximum sensitivity, starting from the first hearing instrument, forms a first yaw angle with the preferred direction;

generating a second directional signal from the second input signals by directional signal processing, such that a direction of maximum sensitivity, starting from the second hearing instrument, forms a second yaw angle with the preferred direction;

adjusting the first yaw angle and the second yaw angle via the directional signal processing of the first and second input signals such that a superposition of the first directional signal with the second directional signal has a maximum sensitivity in an overlap region that includes the predetermined focal point; and

generating an output signal of the binaural hearing system on a basis of the superposition of the first and second directional signals.