AshleyL, thanks! I was hoping you would reply as I knew from another post that you recently bought Solis inverters.
So the grid port will definitely loose power if grid fails, the backup port AND generator port are backed up by the battery if configured beforehand, but what will be the difference between them?? (backup and generator port as backup)
Backup port and Gen port are the same if you configure it as Smart Load Output.
For the Gen Port, you can either configure it as generator port, ac-coupled port or backup (Smart).

Screenshot from random youtube video since my screen is broken and I configure everything via the app (Not at home now, so I can't connect to the bluetooth)
I just select the Smart Load Output and tick that "On grid always on".
I set the Off and Restart at 20% and restart at 21%, but these two percentage settings only applicable if there is an utility blackout because if there is grid power available and "On grid always on" is checked, the Smart port will powered by grid regardless of the set percentage if the battery is too low, useful to charge EV.
To be more specific, if I want a big load like Air Conditioner to be supplied by the PV panels during the day and by the battery during the night, where should it be connected? If I will tie it to the grid port and before the CT, if the grid voltage drops too much or cuts out, it will not be powered by the battery, right?
If you insist on having air-conditioner during blackout, then I suggest you have to wire the air conditioner to the Gen Port and configure it as Smart Load Output, plus configuring the OFF & Restart % accordingly. You don't want to drain all the battery power during blackout/loadshedding to power air conditioning system, do you?
For Backup Port, get refrigerator + fan + router + lighting etc on it?
Any other heavy load or unimportant load can be connected to the Grid Port.
Note: All GEN (Smart), Backup and Grid ports are grid-tied in "Self-Consumption" mode. Better setup the CT and zero export properly if you don't want it to export power.
Solis S6 actually disconnects from the grid if there are overfrequency, underfrequency, overvoltage and undervoltage events and solely powered by the battery + solar.