There doesn't appear to be a sensible solution, which would be for the Jackery be configurable to do the obvious thing and restore the previously-enabled outputs once power returns. Absent a sensible solution, I'd like to present a stupid solution that might also work. https://www.amazon.com/dp/B0FX4G8Q9Z This is a transfer switch with two male plugs and one female receptacle, that will automatically power a device from a preferred power source, switching to an alternate power source if the preferred source fails. Plug your router and other Internet gear into this, and plug this into both the Jackery (input 2, shore power) and directly into the wall (input 1, backup power). If the power fails long enough to drain the Jackery, and then the power comes back, the transfer switch will power your Internet hardware directly from wall power, potentially allowing you to remotely communicate with the Jackery and turn the AC output back on, which will in turn cause the router to switch back to the Jackery as its power source, to survive the next outage until the battery is depleted. The success of this strategy relies on the Jackery continuing to attempt an Internet connection to the app infrastructure, which is of course another unknown. I came up with this idea when I realized that my backup setup created a whole new failure mode that could cost me a freezer full of food under just the wrong conditions... so instead of the Internet router, I put similar device to this on my freezer – primary power from the Jackery and fallback power from a wall outlet on an entirely different circuit. If it's stupid, but it works, then it's not stupid.
