BOOL return types don't mix with async operations. Instead you'll want to pass the result of authenticating with the server into the completion block and have your caller inspect it. I would highly recommend having a look at http://goshdarnblocksyntax.com for the correct block syntax.
I'm pretty sure this is close to what you're attempting to do (added a fake delay in here to simulate the server request):
@interface ViewController ()
@property (strong, nullable) IBOutlet UILabel *resultLabel;
- (void)authenticateWithServer:(void (^_Nullable)(BOOL success, NSError *_Nullable error))completion;
- (void)_fakeUrlRequestToServerWithCompletion:(void(^_Nullable)(BOOL successFromServer, NSError *_Nullable errorFromServer))serverCompletion;
@end
@implementation ViewController
- (void)viewDidLoad {
[super viewDidLoad];
// Do any additional setup after loading the view, typically from a nib.
}
- (IBAction)authWithServerButton:(id)sender {
// call to authenticate with the results in the callback (not returning BOOL)
[self authenticateWithServer:^(BOOL success, NSError * _Nullable error) {
// callback will probably come in off the main queue so if you're doing some UI updates jump back on the main queue
[[NSOperationQueue mainQueue] addOperationWithBlock:^{
self.resultLabel.text = [NSString stringWithFormat:@"Result = %@\nError = %@",success == 1 ? @"SUCCESS" : @"FAILURE", error == nil ? @"No Error" : error];
}];
}];
}
- (void)authenticateWithServer:(void (^_Nullable)(BOOL success, NSError *error))completion {
// put this on the background queue so it doesn't hug
dispatch_async(dispatch_get_global_queue(DISPATCH_QUEUE_PRIORITY_HIGH, 0), ^{
// call the fakeUrlRequestToServer method to simulate your async request
[self _fakeUrlRequestToServerWithCompletion:^(BOOL successFromServer, NSError * _Nullable errorFromServer) {
// completion block that was passed into the method, callback and pass along the success and error results
completion(successFromServer, errorFromServer);
}];
});
}
- (void)_fakeUrlRequestToServerWithCompletion:(void(^_Nullable)(BOOL successFromServer, NSError *errorFromServer))serverCompletion {
// fake sleep here for 2 seconds just to simulate waiting for the callback
// never call sleep in your own code
sleep(2);
NSError *fakeError = nil;
// just a fake auth success or failure
BOOL fakeSuccess = arc4random() % 2 == 1 ? YES : NO;
if (fakeSuccess == NO) {
// fake error
fakeError = [NSError errorWithDomain:@"FakeErrorDomain" code:22 userInfo:nil];
}
// completion block that was passed into the method, call back with the success and error params passed in
serverCompletion(fakeSuccess, fakeError);
}
@end
Here's an example if it in action:

Edit: because the completion blocks are nullable in the example I gave, you'll want to check whether one was passed in first.
i.e.
if (completion) {
completion(success, error);
}