There are various ways to do that, e.g. by moving the add_action for method b inside a
class AwesomeClass{
private storedResult;
private __construct(){
add_action( 'set_logged_in_cookie', array($this, 'a'),10,1);
}
Function a(p1){
//some interesting process with p1
// UPDATE $this->storedResult
add_action('wp_enqueue_scripts', array($this, 'b'));
}
Function b(){
//some interesting process
// USAGE OF $this->storedResult
}
}