I hope I'm answering your question.
Autocrat only allows exact matches or NULL or NOT NULL. Because of how a date field is stored it probably is imposable to filter based on a date. There is no option to select > ot <.
What you need to do is add a column and add a formula that has Yes or No. Any value will do. Use an Arrayformula to have the formula process on all rows. There is a video on my YouTube channel about arrayformula.
Use the newly created field in Autocrat.
With this method, you can make the selection rules as complicated as you want. This keeps the logic inside of Autocrat simple.