The original recipe calls for 6 potatoes and 1 egg but you are using 2 and 2. Why is that? You might have too much egg. But the lack of browning suggests you are not cooking long enough or the heat is too low. Rereading -- 7 min per side is too long, you must have the flame too low.

I always wring out the potato liquid. I haven't made them for awhile, but I think I just tossed the shredded onion in with the potatoes and stirred, without cooking the onion first. Same with a clove of garlic (crushed).

These are called "latkas" laht-kahs. I think from Russian оладья.