Stop relying on your skills to farm CS. Go into custom matches with some champs you want to use and learn how to farm without using skills.
After that, try and take what you just practiced into Normal games against Human Opponents.
You should be using your mana/life to trade/harass your opponent when it's necessary. Learn to conserve it for when you need it and your CS will improve greatly.
Watch this video for even more tips and strategies. His accent is a little annoying at times, but it is very helpful.
https://www.youtube.com/watch?v=2G0osoXFCck