Washer & dryer lost power after the main breaker tripped
Looks like the breaker labeled "Clothes Washer" is tripped. Turn it all the way to the OFF position, then back ON.

When breakers trip, the handle doesn't always flip all the way to the OFF position.  Depending on the manufacturer, they typically flip to a "tripped" position that's somewhere between ON and OFF.  If you push the tripped breaker handle towards the ON position, you'll feel that it's not solidly in the ON position. 

To reset a tripped breaker, you often have to shut it off, then back on. 

The dryer breaker doesn't look tripped, but try turning it off and back on.

NOTES:  


The giant gaping hole in the main panel, should be covered with an appropriate filler plate.