Space switching keyboard shortcut behaviour on multiple displays
Disclaimer: For me on MAC OS Mojave 10.14.6 on macbook pro 2018, using Control + Left/Right, switching spaces by default works on the monitor that has focus. When I move the mouse pointer from screen1 to screen 2 even without clicking on any app on screen 2, i'm able to switch workspace on the screen where mouse pointer is located using Control + Left/Right keys.
But, if by anyhow it's not working for you. You can set shortcut for screen switch across screens using System Preferences - &gt; Keyboard -&gt; Short Cuts and select checkbox for &quot;Switch to Desktop 1&quot;,&quot;Switch to Desktop 2&quot;, &quot;Switch to Desktop 3&quot;. Then using control + 1/2/3 you can switch to one of the desktop. The limitation is you can only create shortcut for 3 default desktops.