How to get the output from a console program in real-time?

In a Delphi XE7/8 program, I want to capture the output of a console program in REALTIME, e.g. inside a TMemo. For this I have created a test console program which outputs a text every 2 seconds:

program GetDosOutput_Console_Test;

{$APPTYPE CONSOLE}

{$R *.res}

uses
  System.SysUtils;

begin
  try
    Writeln('1 of 5');
    Sleep(2000);
    Writeln('2 of 5');
    Sleep(2000);
    Writeln('3 of 5');
    Sleep(2000);
    Writeln('4 of 5');
    Sleep(2000);
    Writeln('5 of 5');
    Sleep(2000);
  except
    on E: Exception do
      Writeln(E.ClassName, ': ', E.Message);
  end;
end.

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Then I use a code I have found on http://stackoverflow.com/questions/9119999/getting-output-from-a-shell-dos-app-into-a-delphi-app

function GetDosOutput(CommandLine: string; Work: string = 'C:\'): string;
var
  SA: TSecurityAttributes;
  SI: TStartupInfo;
  PI: TProcessInformation;
  StdOutPipeRead, StdOutPipeWrite: THandle;
  WasOK: Boolean;
  Buffer: array [0 .. 255] of AnsiChar;
  BytesRead: Cardinal;
  WorkDir: string;
  Handle: Boolean;
begin
  Result := '';
  with SA do
  begin
    nLength := SizeOf(SA);
    bInheritHandle := True;
    lpSecurityDescriptor := nil;
  end;
  CreatePipe(StdOutPipeRead, StdOutPipeWrite, @SA, 0);
  try
    with SI do
    begin
      FillChar(SI, SizeOf(SI), 0);
      cb := SizeOf(SI);
      dwFlags := STARTF_USESHOWWINDOW or STARTF_USESTDHANDLES;
      wShowWindow := SW_HIDE;
      hStdInput := GetStdHandle(STD_INPUT_HANDLE); // don't redirect stdin
      hStdOutput := StdOutPipeWrite;
      hStdError := StdOutPipeWrite;
    end;
    WorkDir := Work;
    Handle := CreateProcess(nil, PChar('cmd.exe /C ' + CommandLine), nil, nil,
      True, 0, nil, PChar(WorkDir), SI, PI);
    CloseHandle(StdOutPipeWrite);
    if Handle then
      try
        repeat
          WasOK := ReadFile(StdOutPipeRead, Buffer, 255, BytesRead, nil);
          if BytesRead > 0 then
          begin
            Buffer[BytesRead] := #0;
            Result := Result + Buffer;
            Form1.mmoOutput.Lines.Add(Result); // <<<<<<<<<<<<<<<<<<< output
          end;
        until not WasOK or (BytesRead = 0);
        WaitForSingleObject(PI.hProcess, INFINITE);
      finally
        CloseHandle(PI.hThread);
        CloseHandle(PI.hProcess);
      end;
  finally
    CloseHandle(StdOutPipeRead);
  end;
end;

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Then I call the console program with this code:

GetDosOutput(edtConsoleExe.Text);

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This works, HOWEVER the output in the memo is not in real-time (i.e. one line each two seconds) BUT once in one step when the console program closes:


So how can I output the lines from the console program in REAL-TIME?