You may be seeing the timed out error because you have forge-singleplayer mods on your learntomod account. Since singleplayer-forge mods won't work on learntomod at the moment, even having them on your account can lead to server connection issues. So, go to mod.learntomod.com/programs and delete all the mods that are tagged with 'forge'.
Another possiblity is that you just need to get a new ip - you will need to do that every 10-15 minutes or so. To do that, press the start server button on the server_instances page (to get there, click the green square on the learntomod homepage),