Energy-momentum tensor, lagrangian density

[Fisica]

Homework Statement

I try to calculate the energy tensor, but i can't do it like the article, and i don't know, i have a photo but it don't look very good, sorry for my english, i have a problem with a sign in the result

Homework Equations

The Attempt at a Solution

In the photos you can see the attemp at a solution

 

[Fisica]

This is the problem

 

[Fisica]

I must get the yellow (3) from yellow in (2)