sup dude, I'll just tell you what I like to do in this matchup as a falcon player
you guys actually did a lot of good things, first of all. You had some nice spikes and gimps, and Davide had a pretty good feel for how to play falcon and where to place his aerials
I noticed that Davide chose to knee a lot from the edge. Nair is typically a better choice unless you're sure your knee will hit. It just has more range and can interrupt marth's stuff with ledge invincibility. Ledgehop nair to buffered role is one of falcon's best options at the ledge
Both of you did a lot of accidental jumps from the ledge as well. It will happen less frequently the more you play, but be mindful of it
Davide seems to be very comfortable being above marth. He shouldn't be. It's okay to go for that wacky stomp from above every once in awhile, but usually you'll get punished for it. (on that topic make sure your marth remembers to duck when he stomps a platform above you, and then uptilt him)
Davide also seems to be comfortable running to the ledge after he gets a kill and stalling there as you respawn. This gives up stage control. Imo it's better to instead run around the stage evasively as falcon and then pick your battles on when to fight back
As for your marth in the neutral game, nairs are pretty good, but I noticed you rarely utilized downtilt. It's more than just an edgeguarding tool; it can lead to a free grab and helps counter falcon's dash dance. Also throw in more fairs in the neutral game, it can hit confirm into a grab as well
oh yeah also on falcon throws. Davide did upthrow you when you when you were at like 30% or below a few times, which is not a good idea. The marth can just wiggle out and aerial the falcon as he tries to combo (unless the falcon is being tricky and forward bs or dashes away for a regrab, which can work)
So he should pretty much always d-throw marths below 30%. Then from like 45% to 80% upthrow tends to work best imo. And after like 80% go back to d-throw
hope that helps!