Connecting to aws iot core with mqtt username and password

The example in the aws tutorial does not show the login method via mqtt with username and password. How can I connect with Custom Authentication using username and password?

I tried with custom authentication but it didn’t work.

• I tried to create custom authontication with port 443 without using X.509 certificate. link: https://docs.aws.amazon.com/iot/latest/developerguide/protocols.html

• I followed the steps in the aws docs. I edited some parts for login with MQTT username and password.
  link : https://docs.aws.amazon.com/iot/latest/developerguide/config-custom-auth.html
  

• And this is my Authorizer
  

• This is my Lambda Function (arn addresses are correct)

  // A simple Lambda function for an authorizer.
  
  exports.handler = function(event, context, callback) { 
     var uname = event.protocolData.mqtt.username;
      var pwd = event.protocolData.mqtt.password;
      var buff = new Buffer(pwd, 'base64');
      var passwd = buff.toString('ascii');
      switch (passwd) { 
          case 'test': 
              callback(null, generateAuthResponse(passwd, 'Allow')); 
          default: 
              callback(null, generateAuthResponse(passwd, 'Deny'));  
      }
  };
  
  // Helper function to generate the authorization response.
  var generateAuthResponse = function(token, effect) { 
      var authResponse = {}; 
      authResponse.isAuthenticated = true; 
      authResponse.principalId = 'TEST123'; 
      
      var policyDocument = {}; 
      policyDocument.Version = '2012-10-17'; 
      policyDocument.Statement = []; 
      var publishStatement = {}; 
      var connectStatement = {};
      connectStatement.Action = ["iot:Connect"];
      connectStatement.Effect = effect;
      connectStatement.Resource = ["arn:aws:iot:eu-west-1:<myarn>:client/myClientName"];
      publishStatement.Action = ["iot:Publish"]; 
      publishStatement.Effect = effect; 
      publishStatement.Resource = ["arn:aws:iot:eu-west-1:<myarn>:topic/telemetry/myClientName"]; 
      policyDocument.Statement[0] = connectStatement;
      policyDocument.Statement[1] = publishStatement; 
      authResponse.policyDocuments = [policyDocument]; 
      authResponse.disconnectAfterInSeconds = 3600; 
      authResponse.refreshAfterInSeconds = 300;
      
      return authResponse; 
  }

• Everything seems fine when I test it using the aws cli.
  

• I am using node-red for testing. But I can’t connect.
  

• I also can’t connect when I try with mosquitto.