I play vs luigi a lot since my teammate ajp_anton mains him and I also know a lot about the character overall so I decided to do a small write up on it
Feel free to input ****.
Imo the matchup is clearly in falcos favor but not by that much, I'd say 60-40 at best for falco.
"It doesn't matter if luigi has a chance to recover, because lasers and d-air turns his chances of recovery to 0%. "
Bull****, try again. Misfires, Down B, edgecanceling side b, being good at sdi'ing+teching makes it pretty god damn hard to edgeguard luigi at times. Of course you can always just take the ledge if he cannot reach onto the stage but then he is either at really high percent or he ****ed up BADLY.
Oh and what do lasers do to luigis recovery lol, he it often boosts his side b recovery and he lags little enough to not lose much if you pick his jump.
"luigi is wonderfully susceptible to dair-dair-dair-dair etc. combos. don't shine him. "
This! Just dairing is really **** at times, and then mixing up nairs->dair once you've figured him out is mad good.
Honestly though, I really dont feel like sitting back and camping him is a good solution.
While it works vs mediocre players good players will just start powershielding the lasers and eventually find a way in (remember, bair has almost no reward in comparison to Luigis grab/dsmash/utilts/ftilts).
I usually just bait an answer to the lasers and punish it accordingly with a nair, dair, grab , utilt etc and then go to town with him (always watch out for the nair though). Luigi kinda sucks at gaining stage control once he lost it.
As for stages YS is actually really good for Luigi (altho it is "****" if luigi DI's badly and gets double shined, which shouldnt really happen except at 80%+). The low platforms aid his weird jumps really nicely and he can very easily reach you if you try to play a keep away game. The short length of the stage also makes it hard to corner him since he gets across the stage with invincibility by just wavedashing up from the ledge >_>. Another factor is that the ceilings are really small. This is usually good for falco but it helps luigi way more in the matchup. Luigis kill moves are all really sub par, especially if given enough ceiling to work with so that you can DI em correctly but on YS he can easily kill you with a combo finisher or just a random ftilt/nair compared to DL or BF where falco would survive without much trouble.
However, when falco KO's luigi it is almost always from a edgeguard (get him far enough from the stage and then dair/bair him when he tries to reach the ledge/land on stage). The times he doesnt die because of a larger ceiling is often far enough to give falco a guaranteed edgeguard KO anyway, which takes away a huge part of the backlashes from playing on a stage with big ceilings.
With that said, Battlefield is luigis worst stage by far(in the matchup and overall). He cant use his side B properly on the edges, he cant sweetspot because of horrible ledges (falco doesnt suffer from this btw) and the platform heights are really bad for him. If he bans that then I'd take him to DL or PS. FD is probably his best stage if they can powershield consistently, so ban/strike that if the luigis good. YS is the go to ban if you arent really uncomfortable on FoD.
Hope this helps