Creating an engaged team is accomplished through the culture, not a program. Paul Marcino's "Carrots and Sticks Don't Work" describes the RESPECT model for how to improve engagement among a team.
R: Recognition - individually and according to their preferred venue
E: Empowerment - NOT micromanagement
S: Supportive - provide feedback as a growth opportunity, not a punitive one
P: Partnership - be a partner, not a boss
E: Expectations - clearly communicated and in writing
C: Considerations - understanding the rooted personalities of each team member
T: Trust - can make a good leader great, or a mediocre leader fail
Motivation is contagious and is a consideration that drives engagement. A culture that does not promote individualism, tolerance, acceptance, and relationship will thwart connectedness, a fundamental factor to one's individual motivation. Engagement is manifested by an individual's motivation to be committed to a team's shared goals, values, and desire for the success of their organization or leader.