What does it mean to place a "piece of parchment paper and an inverted lid of foil" to cover
Maybe cut the paper in a circle and put directly over the meat in the pot.

After that you put the foil over the pot and then the lid ?

this:

http://www.seriouseats.com/2016/04/how-to-make-a-parchment-paper-lid.html

and this:

http://www.thekitchn.com/culinary-school-tip-braise-wit-43041