An assembly is provided for an aircraft propulsion system. This assembly includes a first actuator, a second actuator and a linkage system. The linkage system is configured to transfer torque between the first actuator and the second actuator. The linkage system includes a first linkage shaft, a second linkage shaft and a gearbox. The first linkage shaft has a first centerline. The second linkage shaft has a second centerline offset from the first centerline. The gearbox is coupled to and is between the first linkage shaft and the second linkage shaft.