The new format for the training failures on the Delta application has been answered on RST Delta Facebook group and the Delta Pilot recruiting Facebook page:
https://www.facebook.com/deltapilotrecruiting/
You should list all UPT check ride busts, not daily flights, but any progress or phase checks would be included. Any progress or phase checks in any phase of training should also be included. Listing these failures will not stop you from getting an interview, I had 2 busts in UPT and listed them. We talked about them for 1-2 minutes during the interview.
From my short time at Delta I can say they are pretty forgiving if you make a mistake, own up to the mistake, learn from it and help others to NOT make the same mistake. That is the theme they want to hear about training failures in the interview. If you don't list the failures they will probably be able to see them in the paperwork you turn in, they have seen it all before and they will ask about any omissions. You need to scrub all your paperwork and make sure you list everything that looks like a training failure.
Good luck, I know it's confusing but this website, TPN, RST, and FB have helped me navigate the process.