This court document proves that they indeed filed the FOIA request: https://phmpt.org/wp-content/uploads/2021/11/091621-Complaint.pdf

Here is the case details independant of their site: https://dockets.justia.com/docket/texas/txndce/4:2021cv01058/353278

And here is the PACER link to get access to full documents: https://ecf.txnd.uscourts.gov/cgi-bin/DktRpt.pl?353278

You will require someone with PACER subscription to access the full docs.

I think given the entity filing the FOIA is providing these documents, its a safe point to make that the documents they are providing is authentic unless you can show history of fraud on their part.