I need test vectors for E382 and E521 edward curves in order to test signature and verification process of a software.
E382 and E521 are just curves, just like Ed448-Goldilocks is just a curve.
To implement a signature scheme, design decisions need to be made. For example, "Ed448" is the name given to a standard as documented in RFC 8032. One of those design decisions, for example, was to have 57-byte private keys, even though the most significant byte would always contain zeroes.
Another design decision is the choice of hash. Ed25519 uses SHA-512, but Ed448 chooses SHAKE-256. RFC 8032 references the paper EdDSA for more curves which mentions SHAKE-256 but then decides to use SHA-512 because of its "widespread deployment".
The bottom line is that until there is a signing standard for E382 and E521, such as an EdDSA variant, there cannot be any official test vectors for signing. If you are looking for a way to test the output of your basic curve operations, here is an implementation of E521 you can compare your results with which claims to be "fully tested and debugged".
There aren't any that I'm aware of. Your best bet is generating them yourself. For example, you can get the reference Python implementation from RFC 8032 and parametrize it with the desired curves.
Ed521 has been standardized by the Brazilian government CA, you can see the parametrization in page 12 of this PDF. So you could plug those parameters in the RFC script and generate test vectors. (Or choose the parameters yourself.)