It is not possible to use one Easy-Switch button to at the same time change both your mouse and keyboard to a different computer/device.
We do understand that this is a feature that a lot of customers would like. If you are switching between Apple macOS and/or Microsoft Windows computers, we offer Flow. Flow allows you to control multiple computers with a Flow-enabled mouse. Flow automatically switches between computers by moving your cursor to the edge of the screen, and the keyboard follows.
In other cases where Flow is not applicable, one Easy-Switch button for both mouse and keyboard might look like a simple answer. However, we cannot guarantee this solution at the moment, as it is not easy to implement.