>Ira
Ryoshu's canto will give us the Gebura button because as the disciplinary floor it matches the violent setting, plus the Gebura parallels, it's pretty much self-explanatory the same way Morositas was always going to belong to Hong Lu.

>Luxuria
Meursault's canto will give us the Tiphereth button because as the central command it matches his theme around control and his experiences working for a corp. According to Vergilius, Meursault's quick thinking in combat has prevented many disasters.

>Invidia
Outis's canto will give us the Hod button since her sinner file warns about potential treachery. Her being so overly attached to Dante might be because she's envious of him for some reason. Hod's Training team fits her military background.

>Gula
Faust's canto will unlock the Yesod button since she was the first sinner to join, and is the only one privy to most secrets of Limbus Company while also being in direct contact with LCB's superiors so she fits the role of the Information team. She's also gluttonous for knowledge, to the point of being in contact with all the realities of her existence to be able to "know everything". It also fits her traditional role as a supporter sinner, since the Information team wanted to prevent the L.Corp employees' imminent deaths

>What about the other floors?
I don't see them on the logo, they might not be added as a Dante button.