All brands of controller wire up the same. Open up rainbird and depending on the model, open the cover to access the wiring or it is already ex[osed at the bottom. All irrigations valves work on 24 volts ac. Inside the controller there is the 24 volt transformer. Where the wires connect, usually on the terminal strip or part of a model, you'll see one terminal mark "C" for common. The other terminal will be marked 1-4 if it is a four zone module, some are three.
The valves are just two wires, one wire at each solenoid is connected to the "common" wire, usually white in color. The other side of the solenoids are wired to
one (usually) black wire, these goes back to one of the modul terminals in the controller.
When nothing works, the transformer may have went bad but there would be no display. If there is a display and no battery back up, a bad common wire that may have been cut or chewed on by a varmint. Since your valve box is close buy to the controller, doubt full there is a cut. If you have plug in module, they also can go bad.
If you know how to use a voltmeter and have one. You need to check if there is 24 v ac. If there is then activate a zone and on that zone wire insid ethe controller there should be 24v between the common and the terminal.
What rainbird model do you have?
A very good help site for irrigation systems.
https://school.sprinklerwarehouse.com/?s=solenoid+wiring