If your case is in Harris County, you will always appear in front of the same judge.
It is impossible to answer your question without sitting down with you in person and looking at the paperwork. Quite frankly, what you describe does not make any sense.
For example, a Texas judge had not jurisdiction over federal income taxes. I recommend that your husband talk to his CPA about the tax deductions on the children.
If your husband owes past-due child support to his ex or to the State of TX then he could be ordered to continue to pay child support even though the children are now with him.
I would highly recommend that you pay for an hour of an attorney's time & sit down and discuss your questions in person.
Good luck & thank you for taking custody of these children!
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Either these facts are not completely accurate or there is something very peculiar about the way the modification was requested by your husband. He needs to talk to a lawyer about his situation.
As my colleagues mentioned, these are peculiar facts. However, taken at face value, your husband may want to consider a Motion for New Trial or an appeal if he believes the Judge made a mistake.
You should sit down with Ms. Brochstein to review your options.