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I can't vouch for this because I never tried it, but here's a page that will give some ideas https://www.traegergrills.com/recipes/pork/pork-loin
And try googling "smoked pork loin" you'll get a ton of interesting method's.
It looks like a roast from the Tail end of the Loin. If you can handle a Knife, bone it out and place the small portion, fore ground 2nd pic, in the larger piece of Loin, Butterflied to an even thickness, with Rub and roll and tie it. Rub the outside and smoke to an IT of 140-145 rest 15 minutes and slice...JJ
yeah it's from the loin end of the loin, if it was mine I would brine it in pop's brine and smoke it and have a ham dinner, if not like chef jimmy said bone it out and roll it or cut into pork chops and save the tenderloin for another dinner