Thanks for posting in the Community! If you terminate an employee via pay run and has lodge an STP to the ATO, the corresponding Pay event will communicate this to the ATO along with any Employee termination Payments (ETP). As part of this they will automatically be marked as Is final and won't show on future STP submissions of the affected pay schedule.
Your employees will see information reported through STP via their myGov account. This information will be called an employment income statement.
For more detailed information, you may check on this article: Single Touch Payroll FAQs.
Feel free to drop a comment below if you have any other questions. Have a great day!