How to recognize Authenticated Encryption with Associated Data ciphersuites I have some doubts regarding AEAD ciphersuites and I need some clarification. In the following ciphersuites list:

dhe_rsa_aes_128_sha
dhe_rsa_aes_256_sha
ecdhe_ecdsa_aes_128_gcm_sha256
ecdhe_ecdsa_aes_128_sha
ecdhe_ecdsa_aes_256_gcm_sha384
ecdhe_ecdsa_aes_256_sha
ecdhe_ecdsa_chacha20_poly1305_sha256
ecdhe_rsa_aes_128_gcm_sha256
ecdhe_rsa_aes_128_sha
ecdhe_rsa_aes_256_gcm_sha384
ecdhe_rsa_aes_256_sha
ecdhe_rsa_chacha20_poly1305_sha256
rsa_aes_128_sha
rsa_aes_256_sha
rsa_des_ede3_sha


I have some questions:


Can you help me identify the ciphersuites that provide Authenticate Encryption with Associated Data (AEAD) from those that do not? 
Are GCM and Poly1305 ciphers indicates AEAD and the rest of ciphers do not provide it? Can you list all the AEAD algorithms?
Is it always the case that AE ciphersuites must be also Forward Secrecy ciphersuites? or there is no relation that binds the two? 
Is Authenticated Encryption (AE) is the same AEAD? or they are different terms?
Can you help me identify the ciphersuites that provide Authenticate
  Encryption with Associated Data (AEAD) from those that do not?


All which explicitely name gcm or chacha20_poly1305 are AEAD ciphersuites. The others use the TLS default which is MAC-then-encrypt with CBC.


  Is it always the case that AE ciphersuites must be also Forward
  Secrecy ciphersuites?


There's no technical reason that forces this to be the case. In fact RFC 5487 defines TLS_PSK_WITH_AES_128_GCM_SHA256 which uses AES-GCM (AEAD) but doesn't offer forward-secrecy. And if you don't accept a PSK suite as an answer here, RFC 5288 defines TLS_RSA_WITH_AES_128_GCM_SHA256, which uses RSA key-transport (and thus offers no forward secrecy).

However, AEAD is what some people call "modern crypto". And as such it is usually paired with other "modern crypto", which does usually mean that you prefer to use forward-secrecy with AEAD suites and only have the non-forward secrecy ones for fallback, after all, clients who implement AES-GCM will also have all the other modern crypto like ECDHE.


  Is Authenticated Encryption (AE) is the same AEAD? or they are
  different terms?


Technically yes. An AE scheme only needs to deliver authenticated encryption of the plaintext, the AEAD scheme also needs to authenticate data as well, so every AEAD scheme is also an AE scheme but not the other way around. Practically however, I am not aware of any scheme that is practically used and is AE but not AEAD (and even then, conversion would be quite simple).