You might want to think about the Industry Skills Fund which can reimburse up to 75% of your investment in training to assist you in pursuing new growth opportunities for your business.

More details on the ISF at

https://www.business.gov.au/assistance/internal-assistance/industry-skills-fund

We run workshops in north west Sydney to assist Business Owners in developing business plans and growth strategies to make it easy to apply for funding

http://rapportleadership.com.au/ready-set-grow/

It will be very unlikely to get a marketing grant.

The only possible way is if your businesses has something to offer back to the community like

- Youth Services

- Disability Services

- Local Community Services

Banks also have grants from time to time.