In your 2022 to 2023 tax return, you would declare your residence situation on SA109.
You can declare a split year, in which your income up to the date you left the UK is taxable.
The exception to this rule is income from UK residential property.
This is taxable in the UK, whether you are resident or not.
Income from real property, located in the UK, is taxable in the UK, even if you are not resident in the UK for tax purposes.
This is a condition agreed at article 6 of the double taxation agreement between Australia and the UK (UK/ AUSTRALIA DOUBLE TAXATION CONVENTION
To declare this income, you need to submit a self assessment tax return every year.
If you are submitting a paper tax return, you will be required to complete SA100 (main tax return).
SA105 (property) & SA109 (Residence).
If you wish, you can purchase 3rd party software to allow you to submit a tax return online. (Self Assessment commercial software suppliers
Boxes 1 -14 cover your residence status.
Boxes 15 to 17 cover personal allowances and 18 to 22 covers residence in other countries.
As you will become not resident in the UK, the domicile and remittance sections will not be relevant and can be ignored.
The guidance notes at:
Residence, remittance basis etc notes
, will help you complete the correct boxes.