I haven't tried this yet, but here we go.
1..Find the printer code to cut the paper and test using <XCT> tag in the Line Item section
2..Move all the header and footer content of the kitchen printer template into the Line Item section and add the printer cut code last
The theory is that as it prints each item, you will have a ticket with the table info, time, etc, the item and then cut the ticket.
PS - if you can't find the code for the cutter, try using the form feed code instead.