GNOME Shell – How to Set Focus to Newly Opened Window

You can just use Keyboard Shortcuts, available via Main Menu's Search ..

Just Add a new item... eg. named mate-terminal ... the command should be mate-terminal

Then click on the new item (which appears at the bottom of the list).. and type Control-Alt-t ...

All done...

If you have compiz installed, you can also use its Commands options, but the above method should still work.

I think I have found some working solution here.

Bash scripts provided there are what I was looking for and they apparently make use of wmctrl!

For quick access/archiving purposes I copy-n-paste both scripts here:

Jump to the window demanding attention:

#!/bin/bash
activeWinIdLine=`xprop -root | grep _NET_ACTIVE_WINDOW\(WINDOW\) `
activeWinId="${activeWinIdLine:40}"
echo $activeWinId > ~/activeWinId
for id in `wmctrl -l | cut -d " " -f 1`; do
    xprop -id $id | grep "_NET_WM_STATE_DEMANDS_ATTENTION" 2>&1 > /dev/null
    if [ "$?" = "0" ]; then
        wmctrl -i -a $id
        exit 0
    fi
done
exit 1

Jumps back to the window you were busy with:

#!/bin/bash
if [ -f ~/activeWinId ]; then
    origWinId=`cat ~/activeWinId`
    wmctrl -i -a $origWinId
fi

Thanks for discussion, especially @slm for directing me on the right lead.