I’ve been put through the paces against the twins, and here is what I have found. Hopefully it helps.
-I’ve had some success on knock down of jumping in with medium kick, but jumping so that you land on the outmost of the hitbox. Jumping late can also help, as Hakan looks so slow when he jumps that you may bait them into thinking you are just empty jumping.
-Likewise, attempting to cross them up with J.mk or j.Hk can work depending on how late or early you attempt to jump on them on wakeup. If times right the heavy kick can beat out anything minus Yang’s ultra 2 and and whichever one of them has that SRK uppercut kick.
Side note, I’ve seen a few times now that Hakan’s j.mk and his j.lp have beaten out Yang’s ultra 2. Maybe they were flukes, but it’s something to consider.
-Against the twins, there is no harm in making them make the move. Take knockdowns as an opportunity to get some distance on them, oil up, and make them come to you. Their closing options aren’t the best in the world, as Yun’s dashing punch is punishable on block and Yang’s roll attack shares similar properties.
-If you’re having issues with them jumping and attempting a dive kick on wake up, feel free to just jump straight up and air throw. Jumping at an angle will cause you to take the hit but in most cases a vertical jump can be considered safe if timed right.
-Sadly, oil dive doesn’t work against the twins. But, if you can bait an SRK you can make use of dive and Hakan’s super as they fall. my two favorite baiting tactics are to be as close to them as possible and jump in a backwards arc as they are coming up. if your opponent is scrubby or not paying attention it’ll wiff and you have enough space and time to follow up with either U2 (if that is your ultra of choice) or oil dive.
My biggest Twins advice? Make them come to you. If you feel like you’re getting too much pressure from them, throw them, get oiled, and reset the match.
Also, oil dive cancels into guard position (or as I am calling it, the Coward Dive) does wonders to mess with their minds if they are playing keep away. I’ve caught people in this trick already when they attempt to move in, thinking I’m going to coward dive and instead get hit by the throw. It’s too bad the super can’t be cancelled, though.
Hope some of this helps. If you’re on PSN, check out my replays under the username EyePawd. Might help you.