There are no restrictions on any nationalities applying for an Australian visa. All applications will be assessed on their own merit.
What residency options do Russians and Ukrainians currently have in Australia?
Are there any restrictions on Russians and Belarusians for any of the visa streams, especially the business and entrepreneur programs that could lead one to permanent residency?
It appears that Russian citizens can currently apply for all Australian visas, with no restrictions. The applicant would still need to meet good character requirements, ensure that they and their Russian organisation have no economic measures against them, and be able to transfer funds to Australia for the 188A Business or 188B Investor visa. Note that Ukrainian nationals in Australia with a visa that is due to expire up to June 30, 2022, will be given an automatic extension for six months. In addition, outstanding visa applications from Ukrainian citizens, which number approximately 430, will be prioritized and fast tracked for a decision by immigration officials, as soon as possible.
The Australian government has notified that the minister for foreign affairs may declare a person for a travel ban if: (a) the minister is satisfied that the person or entity is responsible for, or complicit in, the threat to the sovereignty and territorial integrity of Ukraine; (b) the minister is satisfied that the person or entity is, or has been, engaging in an activity or performing a function that is of economic or strategic significance to Russia;(c) the person is a current or former Minister or senior official of the Russian Government; or (d) the person is an immediate family member of a person mentioned in paragraph (b) or (c). Therefore, at this point of time the Russians can expect delays in their processing visa application and will be subjected to the above scrutiny.