If you put them directly into the fridge, probably 4 or 5 days. You will not want to process them after tomorrow though, as food being processed should be done at the very freshest possible. You can always freeze it!
I've had big opened jars of commercial applesauce in the fridge for at least a couple of weeks (homemade never lasts long), and fruit butters seem to keep about as well as jam in the fridge for me (maybe a couple of months at the outside). Neither is likely to go "invisibly" bad... if you see mold or if you smell/taste something sour or alcohol-like, it's gone... but I bet your goodies won't last long enough to go bad!
Freezing does work really well for applesauce. We thawed a "forgotten at the back of the freezer" serving (from last fall) out this morning, and my daughter gobbled it up for breakfast.
I keep apple butter in the freezer and use it frozen. It is very firm but spoonable right out of the freezer and it thaws quickly enough to eat almost right away.
I am not sure how long apple butter keeps in the freezer but I would guess quite awhile. Like a year or so.