(Only saw the FD match)
DAir shine and DAir UTilt are good combo options. You never really went for extended DAir shine strings. Like, you hit a really nice DAir shine at low percentage, but tried to go for shine BAir for some reason... If you can't combo a Falcon on FD properly, you need to hit the lab, son. If you hit a DAir at like 50 percent, where Falcon doesn't remain standing in hitstun but instead gets popped up, UTilt is a better followup to continue your combo. Don't mindlessly go for shine all the time.
As for the neutral game, try to incorporate the following strategies next time you play:
- Locking Falcon down with approaching lasers, and back off a bit once you're in his "FTilt range" (for lack of a better term). This Falcon was really trigger happy when it came to stomps/aerials/jabs when you were pressuring him. Backing off and whiff punishing with DAir into whatever is best at that given moment will teach him to respect your pressure more. This sort of strategy works great against any character and is basically Falco's bread and butter. Once he's stopped going for these, you can mix it up with laser shinegrabs, double shine shenanigans, whatever you like.
- Whenever you feel like he's going to come in for a NAir, try to do a timed UTilt or AC BAir to intercept his approach. You did a couple of random UTilts in your game, but you never really did them when he went for a long range approach. The cool thing about both UTilt and AC BAir is that they shift the momentum heavily in your favour, UTilt being a combo starter and AC BAir leading to a knockdown or edgeguard situation.
- Edgeguarding Falcon is really easy. Just stand at the edge, and react to where he's going. if he's trying to drift to the edge from higher up, DSmash is a good option. Ledge hang BAir/DAir is great for when they come from below. Keep hang on the edge if you see he can't make it, don't go for stupid, not even flashy stuff like shine DAir.
- You never really went for NAir approaches. NAir is safer on shield (as in, NAir L-Cancel shine can't get shieldgrabbed as easily. DAir shine is good as well, but for it to be completely unshieldgrabbable you need a specific height/fastfall timing) than DAir. Other than that, it can't be dashdance grabbed as easily. This Falcon player never really went for dashdance grabs, but other Falcons will definitely evade your DAirs and kill you for it.