Welcome to the Shopify community, it would be good to share the URL so experts here can quickly check and suggest solutions - if any. Not everyone might be aware of a specific theme but can certainly advice how to make changes to any site in styling etc.
From the looks, it appears that your theme should have a customization option to show logo at different places. In case that is not the case, you need to customize the header.liquid file and move the grid elements in the order you want. You also need to take care of where to put the hamburger menu in the mobile view.
If it is too much for you, you should consider taking the help of a developer. DM me if you need more help