Cut the beef into rough 2 inch cubes and layer in the bottom of your slow cooker.
Add the remaining Barbacoa ingredients, except the tortillas, to the slow cooker and stir to combine.
Cook on low 8-9 hours, until falling apart. The meat should shred with very little effort.
Remove the meat, lime halves, and bay leaves from the slow cooker. Discard the lime and bay leaves.
While your meat is cooling slightly, in a large mixing bowl add the first 5 ingredients for the Cilantro Lime Slaw. Stir together. Toss with the cabbage and raddishes to coat. Set aside.
Shred the beef and return it to the slow cooker. You can serve immediately with warm tortillas and the slaw or allow it to continue cooking in the slow cooker on low up to 2 hours until ready to serve.
Layer beef and slaw in warm tortillas and enjoy!