Car won't start even though the battery is good and keep draining battery.

What is your question?

My car won't turn over even though auto-zone checked the relay, starter, and battery and it's all good. It turns on the radio and than twice now if the car is moved in neutral it will usually start except for the last time. Than according to the low jack device I have in my car it told me my battery was critically low a couple hours after trying to turn it on. Even though it has jump started less than a week ago and charged by autozone a month ago. My connections might be loose connecting to the battery but I have tightened them about a month ago last time I had this problem but they won't tighten enough it that is truly the problem.

How long has your 2008 Chevrolet Cobalt had this problem?

About a month on and off.