You can't really tell the difference between burnable and non-burnable trash, can you.

Literal

Burn trash [and-と] not-burn trash [possessive-の] distinction [also-も] well not-understand [confirmation-よね].

燃えるゴミ and 燃えないゴミ are the standard labels on Japanese trash bins — 'burnable trash' and 'non-burnable trash.' Japan's detailed garbage sorting system is famously confusing even for natives. The よね ending seeks agreement: 'right? you feel the same way?'