The documents also show an updated visitation agreement, granting supervised visits for the rapper.
Halle Bailey and DDG are banned from posting their son on social media.
According to court documents obtained by PEOPLE, the Little Mermaid star, 25, and the Youtuber, 27, cannot post or share any "photographs, images and/or information" online of their 19-month-old son, Halo.
"For reasons discussed on the record, and with no objection from either party, the Court orders both parties to refrain from posting, uploading, or disseminating on the Internet or social media platforms, photographs, images, and/or information regarding the minor child or causing any other person to engage in such posting, uploading, or dissemination," per the documents filed by the family division of the Superior Court of California, County of Los Angeles.
The court documents also reveal an updated visitation agreement between DDG, whose real name is Darryl Dwayne Granberry Jr., and Bailey.
The streamer is permitted to have "peaceful contact" with Bailey, solely to coordinate court-ordered visitation of Halo. The documents state that DDG can visit the toddler for a professionally monitored visitation session every Wednesday and Saturday from 9 a.m. to 6 p.m. local time, as well as every other Sunday during the same time period.
"The professional monitor is to be advised and instructed that a primary purpose of the monitoring requirement is to ensure compliance with the Court's orders regarding social media posting, dissemination of information, and the like as explained above in this order," the documents explained.
PEOPLE has reached out to both Bailey and DDG's teams for comments about the court decision but did not immediately hear back.
The visitation modification comes after a series of legal disputes between the former couple.
In June, DDG requested an emergency hearing and asked the court to restrict Bailey from traveling internationally with Halo, specifically on vacation to Italy, per documents reviewed by PEOPLE.
At the time, he also requested a domestic violence restraining order, alleging that Bailey posed an "imminent emotional and psychological risk to the minor child based on repeated, documented threats of self-harm." He claimed that if Halo were to leave the country, the toddler would be without the protections of the Court and any "emergency intervention mechanisms."
A day later, a judge denied DDG's request.
DDG's filing came a month after Bailey accused him of abuse and was granted a temporary restraining order against him, per court documents obtained by PEOPLE on Tuesday, May 13.
The Color Purple actress detailed alleged incidents of abuse she claims to have endured at the hands of DDG. The former couple's son was also protected from DDG under the temporary restraining order, which was filed in Los Angeles County Superior Court.
The temporary restraining order required DDG to remain over 100 yards away from Bailey and Halo at all times, including at Halo's school and Bailey's vehicle.
Bailey's request for a restraining order obtained by PEOPLE detail several incidents of alleged abuse, with specific instances dating back to January 2025. "I realize that there is no placating Darryl. I cannot allow this abuse any longer," Bailey wrote in the documents.
Among the allegations made against DDG are that he frequently verbally abused Bailey, often calling her "a bitch" or "evil" in front of their son. "Whenever he wishes to cause upset, he starts badmouthing me to his several millions of fans," Bailey wrote in her declaration.
The declaration continued, "He claims I am withholding our son and that I am with other men. As a result, I then receive threats and hate on social media. He seems to try to set up drama for his fans. He goes 'live' ranting about me and alleges that I am keeping Halo from him. This is false. I have requested a set schedule, which he refuses."