This used to be one of my favorite matchups, but against good bangs I think Litchi will have some problems to deal with - to be honest You just need ot be a clearly better player or you're going to just lose. ( I think this is the case with anything Vs Litchi, but hey, I'm just really negative)
Anyone that puts things in the way of the stick or controlling your space or can take a hit from you using Ittsu followups is a PITA. Carl, Relius, Bang, Rachel, and Tager all do this, so you have to try to remember that as you play. Throw out anything that can be guard pointed and teleported and Litchi will get hit.
Bang gets in there. Be wary that he'll teleport any move he thinks he has enough time on. I would say just don't use anything slow until you are in combos.
DP is not good in this. Don't do it. He'll teleport it or block.
Don't itsuu nails. Bang will slide.
Don't jump nails. Bang will use Nail cover, air to air, grab, or 6C.
Don't 6B, you'll get 6D-teleported.
Don't use anything that lasts long enough for him to pull off a teleport. Shishin, 13O, Daisharin. Don't. Bang has really good options using that guard point, but you don't. If you Itsuu he's just going to 2A, teleport, or slide.
Watch all of his D attacks.
If he has 50 meter and you knocked him down, expect something. All Bangs do it. They must.