A small number of countries — the UK, Ireland, Finland, Malta and Norway — require dogs to be treated against the tapeworm Echinococcus multilocularis shortly before entry, as part of an effort to keep the parasite out of their territory entirely. Austria is not one of them, and its own entry guidance makes no mention of a pre-entry deworming requirement.
That's a genuinely different situation from the countries that do require it, and for a specific reason worth understanding: those five countries are trying to stay free of a parasite that simply isn't present (or is present only at very low levels) in their own wildlife. Austria can't meaningfully keep the parasite out at its border, because, as AGES (Austria's national health and food safety agency) has documented, Echinococcus multilocularis already circulates in Austria's own red fox population at real, measured rates in several states.
The practical upshot for a visiting pet owner is simple: no pre-entry tapeworm treatment is needed to bring a dog into Austria. What matters more here is ongoing prevention once you're in the country, especially for a dog that spends time in rural or alpine areas — covered in full in the Health section's dedicated article on the fox tapeworm risk itself.

