I tie of my ribbing material the same way, no matter whether it is 'with' or 'against' the thread direction - and it is a secure tie-off with the minimum of thread securing wraps.
Rather than explain it in words I suggest you review a video of two on my Youtube channel. I think you will find it worth your while. Watch closely - it will be over in the blink of an eye
We can discuss further if needed once you have absorbed the technique.