Automatically organize product pages by category

Site URL: https://www.crliquidators.com

Does anyone know if there is a way to have the products on a page automatically organize themselves by the category they are in? The categories are in alphabetical order but the products just show up by the date/time they were listed at the top of the page. For example, I just added some safety glasses and I want them to group together with the other glasses that I already had on. The other glasses were added months ago and ignore the same items unless you look at just that category (Eye Protection). I would like my product pages to display the items in the same order that the categories do at the top of the screen, so the pages look organized and not just like random products. Possibly arranged alphabetically within the categories if possible.

I would like to automate this process so I don't have to drag and drop items every time a new shipment comes in.