I noticed that you both seem to know a combo that works anywhere on screen. But, fail to confirm random hits, air counter hits, and air tech traps a lot. So you might try working on confirming those in your spare training mode time.
You both seem to go for air combos with chars that have very good set-ups you could do instead. (ie. F-Seifuku, C-WLen, H-Sion, F-Aoko). You might do some research into these char's combo potential and see how they might lead into set-ups. For example, learning C-WLen's EX-Ice combo, hitting the slide for knockdown, and doing sperm ball, or dash mix-ups, or the like. Experimenting with things like this in training mode could be worth your time.
You both seem to just do A into B into C into special, or do your combos as blockstrings when the opponent decides to block. With the chars that are not full moon, you might try to save your 2A/5A for reverse beats. For example, C-Ciel might do a string like 2A 2B 3B 5A... reset, or 2A 2B BE5C 5A... reset. Try and work more reverse beats into your blockstrings.
Right now, if either of you blocked on wake-up, you would take no damage, and reset to neutral, or punish an unsafe blockstring ender like 90% of the time. Reverse beats make your pressure scarier and last longer.
As far as neutral goes, you both need a lot of work with movement, and reads, and spacing things better, and punishing mistakes more consistently, and using more sensible pokes in any given situation. Unfortunately, the only way I know to improve this, is to play many different people, often, and preferably people that are better than you.
You should play with the standard timer, 99sec I believe. Playing with out the timer takes out an important aspect of the game.
You should try to play in person if you are able, and not netplay. But if your only source of comp comes from netplay, use it.
Hopefully, this was helpful to you both.
-TexasTim-
If you're having fun the way things are then that's fine too, but I'm guessing progress will be minimal.
This.
Edit: You might watch a lot of Japanese match footage. Seeing how very good players space, noting what pokes they use in situations, looking at the combos and set-ups they do, seeing how they respond things, all of this is useful if you can understand why they are making decisions. If you know the mechanics of the game, watching match footage can help you improve. You just have to think about why players make the decisions they make in matches, and apply that kind of thought to your own play.