This summary is not the rule. The rule text controls.
If you're involved in a juvenile court case, you generally have the right to appeal a decision you disagree with. This applies to the people directly involved in the case, as well as anyone else who has a real stake in the outcome. However, this right doesn't apply in one specific situation: cases where the court is using its authority under Article 960 (which deals with certain specific proceedings).
There's an important limit on who can appeal, though. If a judge decides not to find a child delinquent, or if the child is found not guilty (acquitted), the state cannot appeal that decision. In other words, once a child is cleared of the allegations against them, the case is over. The government doesn't get a second chance to challenge that outcome by taking it to a higher court.
This rule protects children from being tried again and again for the same allegations, similar to how adults are protected from being tried twice for the same crime. It gives finality to a not guilty decision, so a child and their family can move forward once the court has ruled in their favor.