One of the publications on engaged learning that you provide (the "Engaged Learning: Are We All on the Same Page?" one) seems to answer your question (here is a fuller version of it). The quote that addresses your question is given below (bold added).

Many of these concepts of engagement cover ground similar to that covered by initiatives in higher education known by other names:

 

• Engagement with the learning process is similar to active learning.
• Engagement with the object of study is similar to experiential learning.
• Engagement with contexts generally is similar to multidisciplinary learning.
• Engagement with social and civic contexts is similar to service learning.

Thus, the engagement seems to encompass active learning in that active learning is the piece of engagement related to the learning process.

One of the publications on engaged learning that you provide (the "Engaged Learning: Are We All on the Same Page?" one) seems to answer your question (here is a fuller version of it). The quote that addresses your question is given below (bold added).

Many of these concepts of engagement cover ground similar to that covered by initiatives in higher education known by other names:

• Engagement with the learning process is similar to active learning.
• Engagement with the object of study is similar to experiential learning.
• Engagement with contexts generally is similar to multidisciplinary learning.
• Engagement with social and civic contexts is similar to service learning.

Thus, the engagement seems to encompass active learning in that active learning is the piece of engagement related to the learning process.