Please don't be to harsh with me if you think that this is to simple, I just don't understand it.
I been trying to follow this site(Method 2) to solve simple multiplication of $3 * 3 = 9$, but it doesn't work for me.
Please tell me what am I missing.

You are not doing carry propagation after the last row. The last box in the last row has a Carry output equal to T, which has to be incorporated into the result.