Catch all the engine logs and send it to your native console or have a fancy Unity GUI console
Application.logMessageReceived += (output, stackTrace, logType) => {
StringBuilder consoleLogs = new StringBuilder();
consoleLogs.AppendLine("[*] Begin console log information");
consoleLogs.AppendLine("LogMessage:" + output);
consoleLogs.AppendLine("StackTrace:" + stackTrace);
consoleLogs.AppendLine("LogType:" + logType.ToString());
consoleLogs.AppendLine("[*] End console log information");
Utils.SendLogsToConsole("Console Log", consoleLogs.ToString());
};