Use Loba 2K Supra A.T. in the satin finish. Can't beat that for durability and appearance. I don't believe this product comes in matte. The finish won't turn yellow because this particular product is waterborne. It is only oil-based products that yellow. Make sure this is the A.T. version, because if it is not (that stands for Advanced Technology) it is a completely different finish. This is the newest waterborne option offered by Loba and it is a game-changer in the industry. Even if you had kids or pets, this finish would likely last decades. It has ceramic particles suspended in it, and its performance is basically unrivaled on the market at present.

I also read if you water pop would have to do 5 coats is that true? Because water based won’t cover as good?

With this product you would normally do 3 coats. It is a step above the waterbornes of the past, so coverage and durability is not a concern. Here is a video of another Loba product being applied with lots of helpful tips on roller loading and mil thickness, but I believe the application process would be very similar for the newer 2K Supra A.T.: https://www.youtube.com/watch?v=Kbu7kCzd1P0

Use semi-gloss for super dark floors. That is the best look for it. As SJ suggested, using AT or HD will give you superior protection. As for the number of coats, that depends on the quality of the sanding. If, you follow mfg's and NWFA sanding guidelines of finalizing the sanding at 120 grit, 2 coats for hardwood and 3 coats for softwood is all you need. If, you finalize at 80 grit you will need more coats for coverage and film build.

Hi everyone. Thank you for your response. I am not looking for shiny floors. Something Like in the picture below. would these be satin? I know it’s hard to tell from a picture

Probably they are satin as you can still see some sheen to them. A dead flat matte would dampen most light reflection and make it look like a surface with no top coat. Like @SJ McCarthy said, the way that sheen is adjusted in the coatings industry is by adding material to the finish to deflect light rays. It has nothing to do with the "feel" of the surface. You'll get a finish with less clarity unless you wait for the very last coating to do the satin finish you want. All the underneath portions should be gloss for clarity.

Use Loba invisible

That video I previously linked is application of Loba Invisible, so you can see how it looks. Bona Naturale is another one that provides a low-impact coating.

We generally use three coats over stain with water pop. If finishes are applied at the rates prescribed by manufacturers there's no reason to do more than three coats.