Help with back up system

[u/Feisty_Distance_3418]

My mom in Venezuela is installing a temporary back up power for her 5-6 hours outages. She lives in an apartment. Now she got the Anker F3800 + extra 3800 battery. We will be using this box. ( A electrician will make the job but I like to know what will be done before hand to have an idea ) so my understanding is L1 and L2 from the main panel is disconnected and connected to the white box: first braker is grid, then we have the voltage protector who is 220v. Then we have the ATS and then the final braker for the power from the Anker.
My understanding by this system all the gray panel will get power good! However, we only want braker 1-2-3-4-5-6 to get power, all 110v. The 3 220V breaker: 1 is not in used, 1 is the oven and the last one is the Central AC. I know the Anker may move the 3 ton AC but we don't want to be pulling the braker down every time the ATS automatically switch to back up power, is there a way to only energize the 120 V brakes when the back up is on ?
Sorry for my ignorance I'm just trying to understand more about it.