APOSTILLE :

 India, since 2005 is a member of Hague convention of 5 October  1961 , that abolished the requirement of legalization of foreign public documents Apostille is acceptable in all member countries of Hague convention . 
An apostille documents should be treated as legalized document for all purposes in member countries of Hague convention, in accordance with the international obligation under the convention. That means ,  for Hague countries there is no need of Embassy attestation after apostille of the country from which the certificate is issued

EMBASSY ATTESTATION 

For the countries which are not a member of Hague convention we have to get concerned embassy attestation on our document after mea attestation , then only it will be considered as a valid document .

Embassy attestation is mandatory on your education document to get work visa. Your personal documents such as marriage , birth  certificates have to be attested to get a family visa. 
There is difference in Embassy attestation procedures and it depends on country & type of documents