Please note that even if you found a solution to the date challenge, it still won't work. In your case, the process I assume is on the Object Issue. For Auto-Start process, it is on Create and/or Update. In your case, I believe the Issue is not being created or updated, I think the criteria is Target Resolution Date equals (Today + 1), the user may not have updated the Issue for this to occur, it is time moving on and you are sending an alert to the user to review the Target Resolution Date as it is about to expire.
Please review Tim's suggestion.