An EchoTouch can have some of its functions work across multiple spaces. By default the EchoTouch exists in a single space, which is defined by tapping Setup > Settings > Echo tab:
After defining the default space you can select a Page and go into Layout Mode. Next Add Item, and choose a Preset, the correct preset number, and target.
The yellow number in the bottom indicates the preset number. Next tap the Edit Item button, and click on the preset button. Click the Multi-Space Button, then select, or de-select whichever spaces you want that preset to function in.
Press the green check mark to save the edits.
Only presets can function across multiple spaces. As of 2.5.0 it is not possible to have zones or sequences function across spaces.