Yes, it is called a pot-in-pot, but the inside pot is a Rootpouch (brand name), you can get it at Greenhousemegastore. They also have it at Lowes, and sometimes depending on the size and quantity it will be cheaper there. The two below are the ones I use, mostly the grey ones. It prunes the root tips when they get entrapped in the fabric, so not air-pruning as 90% of the bags in the market. You can use them in-ground, and while there will be some escape roots, they will be minimum and usually only at the bottom seam.
Improve root development and moisture absorption for your developing plants by adding them to semi-degradable root pouches for above-ground or in-ground use.
www.greenhousemegastore.com
The Boxer Brown Fabric Pots are the most durable Root Pouch products yet. With strong, breathable fabric made from recycled water bottles and featuring an industrial lockstitch technique with finished seams, the synthetic blend of PET materials in the Boxer Brown pouches will stay tough season...
www.greenhousemegastore.com
Full inorganic substrate. Mostly Bonsai Block and Monto Clay for deciduous and for conifers I add pumice. Lately I have been doing a 1:1:1 for deciduous as well when they are in the ground.
Best part about the above substrates is that they will not breakdown, so upon repotting I usually pressure wash it and put it back to use. In the event of any infection on the tree, I treat the substrate after pressure washing with a heavy dose of H2O2 and chemicals if needed, then wash again before reusing.
The reason it looks "organic" is because I add a thin layer of sphagnum moss on the top to prevent the soil from drying too fast, I'm in the Texas Hill Country, so that means high winds almost everyday and very high temps during summer. The white stuff is just perlite, I needed something cheap to pot the trees when I removed them from the ground when I moved 2 months ago.