When it opened in 1991, this family-owned sandwich shop was the first to serve authentic cemitas poblanas in L.A. Owner Abraham Quitl tops his homemade sesame rolls (baked daily) with meats like pulled pork and barbacoa, plus avocado, onions, jalapeños and queso blanco. Abraham makes this milanesa with breaded beef, and while he recommends using traditional cemita, he says a hard sesame seed roll will do.
For the milanesa: Put the meat on a large plate, sprinkle all over with meat tenderizer and refrigerate for 30 minutes.
Whisk the eggs in a medium bowl, then whisk in the milk. In another bowl, mix both breadcrumbs and the Italian seasoning. Dip the meat in the egg mixture and soak it for 15 seconds, then remove and dredge in the breadcrumb mixture to coat on both sides. Transfer to a plate and refrigerate for at least 10 minutes.
Melt the lard in a large skillet over medium-high heat until hot. Add the breaded meat and cook until golden brown, flipping halfway through, about 3 minutes. Transfer the milanesa to a paper towel–lined plate to drain.
Place the milanesa on the bun bottoms. Lay the avocado over each milanesa, then season with salt and drizzle with olive oil. Top with yellow onions and pickled jalapeños, then add the queso blanco or queso fresco, followed by the queso Oaxaca. Sprinkle with herbs, if using, then add the bun top.