Active learning and authentic learning experiences

Active learning is any approach to instruction in which all students are asked to engage the material they study through writing, talking, listening, problem solving, or reflecting.

Active learning stands in contrast to "traditional" modes of instruction in which instructors do most of the talking and students are passive recipients.

(https://cei.umn.edu/active-learning).

Bonwell & Elison define active learning as ‘anything that involves students in doing things and thinking about the things they are doing’ (1991, p. 2). In other words, for learning to be active,learners not only need to do something but also need to reflect on what they are doing.

(https://www.unmc.edu/tpt/_documents/active-learning-definitions.pdf).

Authentic activities have real world relevance, [...]are ill-defined, requiring students to define the tasks and sub-tasks needed to complete the activity, [...] comprise complex tasks  to be investigated by students over a sustained period of time, [...] provide the opportunity for students to examine thetask from different perspectives, using a variety of resources, [...] provide the opportunity to collaborate, [...]provide the opportunity to reflect, [...] can be integrated and applied across different subject areas and lead beyond domain specific outcomes, [...] are seamlessly integrated with assessment, [...] create polished products valuable intheir own right rather than as preparation for something else,[...] allow competing solutions and diversity of outcome. [Herrington et al, 2003: 60-61].

I think active learning and authentic learning are part of the same educational methodology. Active learning is a method while authentic learning is one of the ways to decline it.