I did eventually found the correct menus. In case of someone else is recently switched from another AV-product to Avast! as Me. Here is short guide how to repair and exclude.
1. From Avast! main menu go to Maintenance -> Virus Chest
At Virus Chest Click with right mouse button the line:
BrCtrCen.exe | C:\Program Files (x86)\Brother\ControlCenter3
(I got many of the above lines because of multiple driver re-installation attempts they were located just in different directorys)
Select the Restore option from pop-up window.
2. Then go to REAL-TIME SHIELDS menu and click Expert Settings button next to the right border.
From a new pop-up window select exclusions menu and add the the directory mentioned at phase one to the excluded directories by clicking small add button at bottom of the window.
3. Reboot and Brother control center should be back up.
Those instructions would be fine if:
1_ You can be 1000000% sure it is a FP; AND
2_ you want to keep using it without reporting it.
When you report the FP, avast can correct it and everyone gets the benefit.
So, in addition to that procedure, I would add the right click and report to avast inside the chest.
Finally, return to the chest after the definitions update, right click on the reported file and rescan it with the new definitions. If it turns to be clean this time, then you can restore it (if it hasn't been restored yet), delete it from the chest list and remove the temporary exclusion / exception you added to the File System Shield.