Hopefully this post won't be too long, but I warn you it will be a bit picture heavy. The good news is that this is the second to last known moves post, the last being linking between braiders. I'll keep posting about some experimental braid moves or combinations in an effort to help unlock some extant braids and I still need to cover the footbeater construction and a wooden 'extra hands' stand too.
Let's start off with move F. Move F is the reversal of move C (just don't do C and F back to back, at least take a loop from the other hand first). So far from what I've seen and read of recent renewed research is that move F is used in making SCOT braids, but I hope that it can be used for other braids. If you're use to European loop braiding than this will be pretty easy. If not, you can work on which method is better for you, in the photos I show the European method but can easily be done by doing move C and depositing the loop instead.
Step 1: Walk your loops down to open up your top finger (in the photo my index finger was out of frame but it is empty)
Step 2: Run your index finger though the loops on the same hand.
Step 3: Pickup the innermost loop from the opposite hand, most often in fingerloop it'll be the one on your ring or pinkie finger.
Step 4: Pull through just like normal and spread your hands.
Now move G, a useful move if you need to connect two or more simultaneously made open (using a combination of A, C, and Linking) braids only at the outer braider's outer edge to make it wider. For a single braider it's kind of like replacing one of the move D's in making a square braid so that one edge is open.
In the first photo, the normal setup. The easiest way to do this is move all of the non-active loops from one hand onto the other, keeping the order the same, seen in the second photo. There should be a photo between photo 2 and 3 showing the loop being twisted. I didn't think of that at the time although you can see that it has been twisted in comparison to photos 1 and 2. Step 4 is putting the loops back to their original positions. And Step 5 is doing a normal move A. This move does not work with the inside through moves C/D as it just becomes either a D/E and conceivably done with move B but that possibility has not been covered by Masako as far as I know.
The link to Masako's instructional page on handlooping moves A-D, F and G; moves F and G are all the way at the bottom of the page: http://www.lmbric.net/ILh/ILh.html