Lawyers for the two sides were requested to file briefs with the commission within 30 days.
This was a high profile case, and many different groups had filed briefs.
The court also ordered the opponents to file similar briefs.
The companies said they would file briefs next week.
Each side has 10 days to file briefs after the hearing.
It asked both sides to review the matter and file new briefs.
Dozens of organizations have filed or joined briefs in the case.
On the contrary, the department has filed briefs in strong support of the civil rights laws.
But he had no legal duty to do so, and other states with such laws did not file briefs supporting Texas.
The Sextons did surface, but not to file legal briefs.