I'm not sure this is true. I've payed attention to a few high profile cases and I've not seen anything like that come up.
The closest I can think of is when jury instructions are issued. But in that, the two sides ultimately work with the court to hammer out the details of how those instructions should look. And often, they are based on a more or less standard template with minor revisions.
I was watching the Abrego Garcia case. It was done routinely by Garcia's lawyer. They would write an order for the judge to sign then ask them to sign it.
Generally speaking, an attorney can make a request for a ruling by the judge and the other side can oppose it. However, beyond just citing relevant case law there wouldn't be anything that could be copied verbatim by a judge.
There should be relevant court filings that show what you are saying happen. Do you have them?
>ut when I try to find the judge's order exactly copying the proposed order I'm not seeing it
You'll have to sift through them because it happens some of the time not all of the time. The example I gave was how they did it, if you wanted a 1:1 example in that case of the judge just signing off verbatim below ought to fit:
The closest I can think of is when jury instructions are issued. But in that, the two sides ultimately work with the court to hammer out the details of how those instructions should look. And often, they are based on a more or less standard template with minor revisions.