You can, though. But not through their app. Someone reverse engineered their protocol and wrote a program that connects like a new client, which you then approve, and it dumps all your random seeds into a text file. I then put them all into Keepass.
Edit: Unfortunately, the author has deprecated the project as Authy has added some attestations to their API, seemingly for this exact issue. https://github.com/alexzorin/authy?tab=readme-ov-file
People keep acting like Authy is betraying them by not having an export feature, but why exactly are you leaving Authy to begin with? Because they are a security risk?
You’re gonna leave Authy a copy of your seeds? That defeats the purpose.
Re-key your MFA codes on the way out. Security isn’t necessarily convenient.
I can’t even begin to stress what a terrible idea that is. You absolutely don’t want to make bulk-rekeying possible unless you like getting all of your accounts compromised at once.