To be clear, we’re talking about the country not the state. Georgia is one of the many countries that border Russia in case you didn’t know. Talking or drinking during a toast is considered to be very rude in Georgia.
As a general rule, try not to talk when someone else is talking, especially when you are travelling overseas. You will probably tick off your host and fellow guests. Just keep quiet and keep your mouth off your glass until you see other people sipping. It will keep you from committing this faux pas.