I assume you're running NR on a Raspberry Pi as you did not specify this. Have you tried if you can get the relay of LED toggled using some Python code based on Raspberry documentation or tutorials?
Unless you have, it will be difficult to guess if this is a hardware issue or Node-RED related.
Please note that you can paste images directly in here, there is no need to use an external site.
Add a debug node showing what you are sending to the gpio node and show us what it gives. Also show us how you have configured the gpio node (screenshot is the best way).
Do you see any errors in the debug window when you try to drive the output?
Finally stop and restart node-red in a terminal and copy/paste the terminal output here please, right up to the point you attempt to drive the output. Use the </> button above this box and paste it in.