So I take it your daughter isn't diagnosed with anything that might explain her behavior. Maybe you need a more comprehensive evaluation beyond ADD/ADHD. A neuropsychiatrist would be more able to pinpoint what is going on. Handedness may or may not have anything to do with it. Right-brained people tend to be more creative and "daydreamy" and are visual learners. Have you tried backing up and working along side her on some chores and when she seems to be doing it right, back off and let her finish. It might also be that she is lazy and needs to be shown how the chore relates to HER. Maybe next time she doesn't do the dishes properly, SHE is the one that is given food in the dishes SHE washed. Natural consequences.
I don't know. These are just some of my thoughts. Others will hopefully be along to give you better advice.