I haven't exactly tried what you are doing. So I will describe what I know works and then what I think should work in your case.
To install 3rd party LUTs into LumaFusion use the import tool, which is found in the Color and Effects Tab of the FX editors.
It seems to me that you have a selection of LUTs in an app on your device.
Is there an OPEN IN option for the LUT files? That is what I suspect you should use. 'Open in' LumaFusion.
Unzipping the .cube and .3DL files isn't going to do anything for you as you can see.
Let me know if this helps.
If it doesn't then tell me where these LUTs came from, what app you are using (looks like PremPro), give a detailed step by step, so that I can reproduce the issue please.
That worked thanks.