You're asking "how do I make this?" but I think you mean, is there a preset for this sort of graphic animation and such. And no, there aren't presets for this; you'd have to animate the position of your various layers and elements individually. It's not difficult, but it is time consuming.
And one thing about the video you shared that's just not possible in LumaFusion, yet, is the ease-in and ease-out of elements that happens throughout your sample. That's how the images or titles slide in and ease to a stop in their final position; that's a couple clicks in Premiere or Final Cut (as knobbydave suggested might be the case), but not possible in LumaFusion. I'm told that keyframe ease-in and ease-out are on the to do list, but they've been on that list for at least a year, with no idea when they'll be implemented. Ease-in and ease-out are extremely important to making a video look professional, so advice there is to just be patient. LumaFusion is built by a small but very talented group of developers, and they have a LOT on their plate.
That said, Luma-Folks, any idea when ease-in/ease-out might make it into the app?