So when you tried the example I linked to, that didn't work? I am not 100% certain, but it seems like you should be able to use the drone to place a cobblestone block, then tell the drone to move up 1 then place the lever - we don't seem to have redstone dust in the Blockly minecraft blocks but lever is there. If that doesn't work, you may have to experiment with moving the drone to the right or left or forward then up one.
If you'll let us know the name of the mod, assuming it's on your learntomod account, we can look at the code for you.
You're not testing the simulator, right? I would definitely recommend running it in Minecraft.
If all else fails, you can use a regular green text block + red command block to use any commands related to redstone.
Have you seen this youtube video playlist, by any chance? I am not sure how to uptodate it is, but it shows how to use redstone in learntomod. https://www.youtube.com/playlist?list=PLyXVSS9DX9ZKECjXO25D5QtQdcQa_Y5Cm