According to self-determination theory, the motivation that needs to be most enhanced in asking another person to engage in an uninteresting but important activity (e. g., recycling, cleaning) is to promote:

identified regulation

Explanation:

According to self-determination theory, the motivation that needs to be most enhanced in asking another person to engage in an uninteresting but important activity (e.g., recycling, cleaning) is to promote identified regulation. Identified regulation occurs when an individual is asked to perform a task not because he has an intrinsic reason to, but because that individual identifies with the personal importance of that task/action and hence accept it as his/her own. The motivation here is extrinsic.

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