First of all, thank you for your question.
도록 (link-ending) to indicate that the event in the previous section is the purpose, result, method, degree of the situation of the subsequent event.
느라[≒느라고] (link-ending) to indicate that the event in the previous section is the purpose or cause of the subsequent event.
You asked about the difference between 도록 and 느라, and in the case of 느라, there was a negative result or a negative feeling. So the answer is 도록.
Have a nice day~