Good question and I'm not positive of the answer, but in theory the mortgage payment is, as someone else said above, for PITI. Principal (paying down the balance), interest, taxes, and insurance. The PI portion the bank takes immediately and throws into their pile of money. The TI part is an addition to an escrow balance associated with that morgage. In theory the escrow amount goes up, then drops down when they make a tax payment or pay an insurance premium on your bahalf. They're pretty good at estimating how much is going to be needed and your payment amount for the TI portion is evaluated and adjusted, if needed, each year. While it is possible that the escrow balance might come up short when a payment from it is needed, that shouldn't happen if you are keeping up to date on your payments. I think *if* it were to happen and you were up to date on your payments there is a good chance that the mortage company would let your escrow balance go negative for a short time, but for sure your payment amount will be going up to prevent it from happening again. If you're behind on your payments and that's why the escrow balance is short, I can't guess what they might do, but certainly not making the payment seems to be a potential response.
Having said all of that, I'm wondering how sure we are that the payment hasn't been made on the taxes. Is it possible that the report in the PDF isn't updated that often? If the mortgage company got the payment to the county a bit late, could it have been paid and just not updated yet? I'm also kind of amazed at how big the report is for presumably only people who are late with their property taxes from last year given how taxes normally get collected and paid for those with mortgages and the low population and relative few houses in Fremont County. (I realize that other land and buildings also have property tax on them, but also think the vast majority of land in Fremont County is government land, primarily federal.)