No bean named 'transactionManager' is defined

Actually, there is a way to use named TransactionManager with Spring Data JPA. This works for me:

<bean id="myTransactionManager" class="org.springframework.orm.jpa.JpaTransactionManager">
    <property name="entityManagerFactory" ref="myEntityManagerFactory" />
</bean>
<tx:annotation-driven transaction-manager="myTransactionManager"/>

<jpa:repositories base-package="com.xxx.yyy" entity-manager-factory-ref="myEntityManagerFactory" transaction-manager-ref="myTransactionManager">
</jpa:repositories>

The default value for the transaction-manager attribute is transaction-manager. In your case, you should specify which transaction manager you want to use per method or service like this:

@Service
@Transactional(value="LiveTransactionManager") 
class someClass...

or

@Transactional(value="ArchiveTransactionManager") 
public void someMethod

I use java configuration and specifying the transactionManagerRef was solution for me:

@Configuration
@EnableTransactionManagement
@EnableJpaRepositories(
    entityManagerFactoryRef = "myCustomEntityManagerFactory",
    basePackages = {"ua.demitt.other.path.to.repos"},
    transactionManagerRef = "myCustomTransactionManager" )