For Thing1 we had a small food mill, and would grind up anything we were eating and never a baby food jar except for long trips... we were less ambitious with Thing2, I'm ashamed to say, but never did we buy any of the jarred meat products, they're just gross.
Beef and pork are harder to mince than, say, chicken or fish.
Mixing a veggie in with the meat can make both easier to eat: a little fat in the veggies, a little sweet from carrot or spinach in the meat. Spinach+tuna was one of Thing1's faves (spoonerfish, we called it).
Surprisingly, strong flavors are NOT an automatic rejection. At age 1, Thing1 put his hand into a bowl of salsa, slurped it, eyes widened and clawed his tongue... then went back for it again.
What is patriotism, but the love of good things we ate in our childhood?
-- Lin Yutang