About dog food:  canned food stores best.  Shelf life should be at least 2 years. Dr. Fox at www.twobitdog.com has a lot of recommendations about dog food.

Dry dog food would have to have additional storage precautions.  A 'supersurvivalist/powerprepper' uses food grade buckets, mylar liners, dessicant, and CO2 oxygen displacing techniques for long term storage.  This might be appropriate for dry dog food also, to prevent the oils in the food from going rancid.  One might get several years of storage life this way.

Dr. Fox has a homebrew dog and cat recommendation.  A proposed 'tough times' variation on his dog food recipe would use plain old canned beef, lamb, or poultry with rice, canned sweet taters. and whatever supplements [yeast, cider, vitamins] are available.

This tough times approach would just involve stocking up on ingredients which would tide humans and pups over until things get more stable.

By preparing large quantities of canned meat, storing brown sproutable rice and other ingredients for maximum shelf life, pup pops and moms can provide for themselves and their pets.