I use FreeOTP for iOS. It has two security levels: normal-level security codes will unlock when the phone is unlocked, high-level security codes require a sepa

I use FreeOTP for iOS. It has two security levels: normal-level security codes will unlock when the phone is unlocked, high-level security codes require a separate unlock to get the code. The former back up to iCloud (E2E encrypted), the latter don't back up.