There probably isnt an 'off the shelf' budget format for QA because every operation is different. Often you can use any previous budget plans as your model if it is available.
If there isn't one, the first step is to list all of your and your departments responsibilities.
These may include depending upon your organisation:
QC testing, internal and external laboratory analyses
Pest Control
Cleaning
Internal and supplier auditing
External and certification audits
Training
Medical Screening
Complaint evaluation
Non conforming material evaluation
etc
(There is an another plus to doing this in that it helps you prepare for any annual appraisals!)
Look then at the costs for doing each of these - include staff costs, equipment and material costs and external fees. If you have historical data it makes it easier. I always then add 10% to each of these on the basis that you will probably get some knocked off. (You may need to increase this if inflation is still a problem)
Look at the equipment and facilities that you have and see what may need replacing and cost it.
Look at what went wrong in the previous year and what further staff, equipment, materials you would have needed to have prevented it.
Always include an amount to cover ongoing staff training.
Look at any planned developments and projects for the coming year and what you will need to cover it - maybe new product ranges, certifications, consultancies.
Consider also any continuous improvement KPIs that you may have.
There will always be additional areas to the above, but this should be a starting point