Thermostat turned off and furnace no longer works after doing some electrical work to a switch outlet
You need to figure out which cable is the feeder, the one from your service panel and the one going to the outlet. Connecting black to black , white to white and bare copper grounds will get that working in most cases.

The switch and lights may take a bit more information and photos to get correctly connected. Remember when switching sometimes the wire colors don't follow black is hot and white is neutral.