Combine all the ingredients for the adobo sauce in a small saucepan and bring to a boil. Reduce to a simmer, and continue cooking until the mixture had reduced to about 1/2.
Remove the bay leaves. Using an immersion blender, blitz until smooth. Set aside.
Make the burgers
In a medium bowl, combine the pork, green onions, garlic, salt and pepper (to taste). With your hands, combine well and form into 4 uniform patties.
Grill about 4 minutes per side, until cooked through and the inside reaches 160F. Once they are cooked, set aside to rest about 5 minutes.
Make the slaw
In a medium bowl, combine all the dressing ingredients. Mix well. Add the coleslaw, and toss until the dressing is completely covering the cabbage.
Assemble the burgers
To each bun, pour enough adobo sauce on the bottom side until the bun is wet, but not sopped through. Top with a burger and then 1/4 of the slaw.
Repeat with remaining burgers.
Use any leftover adobo sauce as an au jus, to dip.