I have two friends who are very good litchi players, so I have a fair ammount about the match up.
You are going to have to show a lot of patience in this match up. But then again, this is tager, so you are going to have to do that a lot.
Trying to simply get in there and pressure her will get you murdered. While she has her staff, she has huge range and her attacks will always stuff yours. Some of her attacks will also wall bounce on counter-hit, leading to a big combo. Because of this, obviously, she is going to try to zone you. If she is going to sit on the other screen and zone you, do the same. Wait for her to come to you. Try to backdash/instant block punish if she jumps at you.
Her jumping b is a great cross up, so she will often iad at you with this attack. It can cross you up when you don't expect it. If she is doing this too much, I have had luck with tager's jumping c stuffing it into huge combo. Her jumping c with staff will fucking crush you though, so be careful about trying to beat her in the air.
You obviously don't want to get in the corner. She has mad corner shenanigans. Try to tech out of her corner combos while in the air, not on the ground. Teching on the ground can lead to resets. If you tech in the air, you can barrier block the following attacks. Also, I found that in the corner(and elsewhere), litchis often do a dp after 6c. You can backdash the dp and 360/720 her if they do this too much.
The other big concern is her dragon punch. ITS AMAZING. It will beat everything you do(except sledge), and she can combo afterwards for lots of damage. It is very hard to pressure her while she has the dp. Also, you 720 and she dps at the same time, the dp will beat out the 720. I've had it happen multiple times, I was quite sad.
Be patience and try to get her seperated from her staff, then you can fucking destroy her. Without her staff, her normals don't have near as much priority and she can't dp. If you are pressuring her and you expect the dp coming, you can sledge through it and counterhit into big soviet combo. This is dangerous though, if she expects the sledge, any of her normals will stuff it. Its much safer to wait for her to dp, then sledge through the dp as the staff is coming down. She will be able to block the sledge, but as she seperated from the staff, you can start to pressure her without worry.