Overdo

Hi Group,

How can I use the word overdo in the informal way. I wanna say something like but I don't if this is right, following this context "Carolyn and I like to overdone to each other" "Carolyn always likes to overdid with me"

Thanks in advance,
Antonio.

[Tdol]

They don't work:

Carolyn and I overdid the wine last night and I've got a dreadful headache.