Big fan of the bat for years.

Have changed to thunderbird for the reason is that I can reply to a message
on my home computer and when I check my mail account at work it
already shows that the reply has been made.
Only thing that I like about the thunderbird as I am in the accommodation business
and i can sort enquiries out at home and and go to work in the morning and
I can visulally see where I left off.
I think thunderbird also updates the replies in the sent folder as well

Where The Bat would show it as an unread message each morning.

Is The Bat able to be setup to do this?