If a pet is on a vet-prescribed diet for a medical condition, or a specific long-term medication, it's worth not assuming the exact same brand or formulation will be easy to find in Austria. Major prescription-diet brands sold through veterinary clinics are generally available, but a specific product line or flavour can vary by market, so checking with an Austrian vet clinic in advance is worthwhile if the trip is more than a short one.
Bringing enough of a pet's existing food or medication to cover the whole trip, rather than planning to restock locally, is the lower-risk approach for anything where a substitution could cause a problem. If a refill is needed while in Austria, a copy of the original prescription or a letter from the home vet makes the process at an Austrian vet clinic considerably smoother.
For medication specifically, veterinary medicines beyond basic over-the-counter tick and flea prevention generally require a prescription from a vet in Austria, consistent with the rest of the EU — whether that's an Austrian vet or a valid prescription carried from home, which an Austrian vet can typically assess and reissue from an existing diagnosis if needed.

