Obadiah Moyo has been removed from Cabinet for "conduct inconsistent with that of a minister."
Officials have attributed the deaths to a combination of lethal force by security officers and inter-ethnic violence.
They want the court to order government to make arrangements for them to access some financial support.
The government has vowed to fill the dam despite the outcome of ongoing talks.
Sudan has announced a gradual easing of Covid-19 restrictions by reopening public offices and allowing civil servants back to work.