I would seriously doubt timelines are going to be of any use in this situation. What you need is to save a current time stamp when the game is closed, load current time stamp when loading the game up again, and compare them to see how much time has passed.
The “Now” node will return the local machine’s current date/time in local format, and the “UtcNow” node will return the current local time as UTC (Coordinated Universal Time) which would personally be my choice for this. The object returned is a date time structure that can be manipulated with other nodes to get the current day, time, time since midnight, etc. Should be able to find a way to compare the two using a timespan, and then use that data to determine what should have happened during that time.