Recently, Jacob Bennett beat me to the punch when after much digging, came to the realization that I needed to utilize Laravel's Token Guard, yet there were no resources to be found on implementing such feature as the Laravel Documentation leaves much to be desired.
I highly recommend you take a look at Jacob's API Token Authentication in Laravel 5.2 article, as it provides great insight onto the subject, as well as an active discussion in the comment section.
However, there is a variation on the popular suggestion, as in the case of my implementation.
For the setup, I wanted a custom HTTP Header with key to be sent on every request for authentication.