What do you need to do/doing to achieve your goals?

To talk about your goals, use need to do. This structure means you must perform an action yourself. For example: I need to study more to pass the exam.

Need doing has a passive meaning — something requires an action to be done to it. For example: The room needs cleaning. (Someone must clean it.)

So, to achieve your goals, you need to do something, not need doing.

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