Unfortunately it is entirely your responsibility to provide the additional paperwork, when you become eligible. The Department has stopped sending out the 2 year notifications altogether now.
You may have to look at Ministerial Intervention, but is my understanding that you can't apply for Ministerial Intervention in the case of an onshore partner visa refusal, so an offshore application looks like the most likely pathway.
If you have been refused a Partner visa already while in Australia, the Minister has indicated that it is inappropriate to consider your case under the public interest powers. The Minister expects us to finalise such requests without further processing. , .