[ecfisa]

Hola de nuevo José.

De este modo me funciona correcto:

Código Delphi [-]
procedure TForm1.SpeedButton1Click(Sender: TObject);
var
  lpOperation, lpFile, lpParameters, lpDirectory: PChar;
begin
  if not FileExists(EditTargetName.Text) then
    with TPanel.Create(nil) do
    try
      Caption:= 'Realizando copia de seguridad, aguarde un momento por favor...';
      Font.Size:= 14;
      Font.Name:= 'Arial';
      Width:= 600;
      Height:= 70;
      Left:= (Self.ClientWidth - Width) div 2;
      Top:= (Self.ClientHeight - Height) div 2;
      BevelInner:= bvNone;
      BevelOuter:= bvNone;
      BevelWidth:= 1;
      BorderStyle:= bsSingle;
      Ctl3D:= False;
      Parent:= Self;

      lpOperation:= 'open';
      lpFile:= 'gbak.exe';
      EditPathAndBDName.Text:= EditPathAndBDName.Text + ' ';
      lpParameters:= PChar('-v -t -user SYSDBA -password "masterkey" ' +
        EditPathAndBDName.Text + EditTargetPath.Text + EditTargetName.Text);
      lpDirectory:= PChar(GetEnvironmentVariable('ProgramFiles')+'\Firebird\Firebird_2_5\bin');
      ShellExecute(Handle, lpOperation, lpFile, lpParameters, lpDirectory, SW_HIDE);
    finally
      Free;
    end;
end;

Saludos.