Finalmente, les distribuye los vasos a los invitados.

is this correct now???

Buenos Días, Sam. Not quite.

if you want to say "I distribute them to the guests" = les distribuyo los vasos a los invitados.

BUT if you want the tú/affirmative command as you have used in the other lines: Distribute them to the guests = Finalmente, distribúyeles los vasos a los invitados.

Sra