JOHANNESBURG - The case against Chatunga Bellarmine Mugabe (29) and Tobias Mugabe Motonge (33) has been postponed to 3 March.
The pair appeared at the Alexandra magistrate's court on Monday after they were arrested on Thursday.
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A 23-year-old gardener was shot at the Mugabe residence in Hyde Park on Thursday.
The gardener is in critical condition in hospital.
Mugabe and Motonge were arrested on a charge of attempted murder.
They face an additional charge of defeating the ends of justice after the firearm believed to have been used has still not been found.
The matter has been postponed while investigators confirm Mugabe and Motonge's status in the country with the Department of Home Affairs.
"We can't go too deep in detail with that because we don't know, the nature, except for what was stated in court," said Mugabe and Motonge's lawyer, Sinenhlanhla Mnguni.
"We are at this stage, allowing them to continue with their investigation," he added.
Mnguni would not clarify on Motonge and Mugabe's relationship.