I have looked at the site you mention and it does say that their LUTs can be used with LumaFusion
What is the difference?
I've absolutely no idea I'm afraid and at $18 (about fifteen quid) a pack, I'm sorry I'm not gonna be downloading them
However, since it says you can use them, try this:
Tap on a video clip
Tap on the blue briefcase
Tap on edit
In the bottom right hand corner tap on Color & Effects
Tap on the 3d block to take you to LUTs (I think you can miss this step)
fullsizeoutput_5bc.jpeg [ 255.19 KiB | Viewed 5727 times ]
Tap on the import icon (the door on the left side of the screen with the arrow pointing inwards)
And that will take you to the import screen - that's how you get them in
fullsizeoutput_5bd.jpeg [ 144.66 KiB | Viewed 5727 times ]
But I honestly can't say if they are any good or better - beauty is in the eye of the beholder!