Hello Aspirant, to get admission into Andhra University you must apply for AUEET 2019.
Now, I will explain you the difference between the two exams.

Andhra Pradesh Engineering Agriculture and Medical Common Entrance Test ( AP EAMCET )
This examination is conducted by Jawaharlal Nehru Technological University in Kakinada.
It provides admission into Universities/private colleges for B.Tech/ B.Sc. / B.Pharm courses.

The colleges participating in this entrance exam are:
1. JNTU college of engineering
2. University College of engineering, Osmania University
3. AU College of engineering
4. Sri Venkateswara University College of engineering
5. Kakatiya Institute of Technology and Sciences
6. Vasavi College of Engineering
7. University College of Technology
8. Gokaraju Rangaraju Institute of Engineering and Technology
9. Koneru Lakshmaiah University - College of Engineering
10. JNTUH College of Engineering

Andhra University Engineering Entrance Test ( AUEET )
This examination is conducted by Andhra University for admission into its Dual Degree engineering programme.
The candidates are admitted to two campuses of the University:
1. University College of Engineering
2. Andhra University College of Engineering

If you want to apply for this Examination then hurry!!!!!
Because the last date of submission of the online application is 20th April, 2019. And, you can apply for the same till 25th April, 2019 but with a late fee of ₹1500.

The correction window will be open from April 25, 2019 - April 27, 2019.

Eligibility criteria
This has to be kept in mind while filling the application.
•The candidate must have scored atleast 50% in 10+2 or its equivalent.
•And should be having Mathematics, Physics and Chemistry as compulsory subjects in the qualifying examination.

If you want to know the application process in detail, please visit the link, it will be helpful.
https://engineering.careers360.com/exams/aueet

All the best!
I hope this helps.