Can Tessitura have some sort of reminder to send to people when they forget to close the batch or maybe Tessitura has something like if you do not completely close the batch you cannot open a new one till you close the one that was opened before?
I made an Analytics widget that shows held and open batches for finance. I often use it for naming and shaming along with a handy meme like ... ... to soften the blow. That usually does the trick in a fun way (or at least they haven't thrown anything yet)