What I can gather from your post is:
1. 2019 Edge with 36000 miles makes a tone when accelerating after a stop with no message on dash.
2. You get a message that something (you said battery) is turned off to save battery.
3. You took it to the dealership and they did something in software that didn't fix anything.
4. The car won't keep your cellphone synced. (I am unclear exactly what this refers to)
______________________________________________________
For #2 above - I would suggest you take this car to an auto shop you know you can trust and ask them to put a battery tester on your 12 volt battery to see if it needs to be replaced. Your car is right in the time frame of needing the original battery to be replaced as they generally have a limited life span.
For #1 - a door or hood latch that has gone bad can trigger a chime - so having a shop check these may help.
For #3 - I have no comment for this.
For #4 - I have no comment for this.