Are you actually arguing that Litchi has better tools than Bang in CSEX? That's a joke. Bang is Litchi's worst matchup in CSEX.
Stop jumping into the staff. Play more aggressively. Your pressure is stronger than hers at close range by a wide margin.
A gatling is the equivalent of a special cancel but for normal moves. It refers to the property that allows one normal to cancel into another normal if you input them successively (as in while the previous one is still active). The most common gatling across characters is 5A 5B 5C. Nearly every character has a 5A that gatlings (normal cancels) back into itself a maximum of three times; after that, you must dash cancel or wait to get another 5A. A gatling table will list all of the possible normals that one move can cancel into. For example, Litchi's 5B[m] (all of my examples are going to be Litchi-related as I don't know shit about any other character):
5B[m] > 6A[m] 6B[m] 2B[m] 5C[m] 2C[m] 6C[m] 3C[m] 4D 6D 5D 2D
This is a very typical gatling table and demonstrates some properties very typical of gatlings. For starters, most moves do not gatling into normals with a more diverse gatling table; all of the moves on that list have less possible gatlings than 5B[m] does. The consequence of this is that the more normals you use in a row, the less gatlings you will have available to you. For example, let's say I score a counterhit 5B[m] so I decide to use 6C[m]. 6C[m]'s gatling table looks like this:
6C[m] > 5D 2D
Now, all I can do, normal-wise, is drop the staff (that's what 5D and 2D do) and my combo is over*. Given that information, the idea behind constructing combos based on gatlings is to build routes that get to endpoints like this as slow as possible. So, instead of going into 6C[m], I could go into 5C[m], which has a gatling table that looks like this:
5C[m] > 3C[m] 4D 6D 5D 2D
Now I have the option to do more normals. 4D and 6D don't combo (they're too slow) and 5D and 2D just drop the staff, so I can continue my combo with 3C[m].
3C[m] > 5D 2D
3C[m] has no useful gatlings but is special cancellable, meaning I can now use tsubame gaeshi (623D), Litchi's DP. And that right there is Litchi's plain hit staff BnB: 5B[m] 5C[m] 3C[m] 623D. There are some moves that have gatlings that create loops but these gatlings are only useful for a limited amount of times. For example, Litchi's 5B gatlings back to 5A (which subsequently gatlings back to 5B), but you can only do it once; if you want to do it again, you have to stop attacking or interrupt it with a dash.
*Not really, but it's not relevant to this discussion. 6C[m] is jump cancellable, so you can IAD towards them and combo them some more.
So it's pretty much the combo system in BB? So you can pretty much make custom combos for yourself based on a characters respective gatling tables then?
EDIT: aw man you guys already started playing?