Hi RRSinness,
Have you considered a 'through and through' splice?
Form the centre handle loop, you then have two cords, lets call them 'A' and 'B'.
At the point of the splice, use a fid to open up the brades of 'A' making a hole through the middle. Then pass cord 'B' through the hole.
Now open up a hole through 'B' and pass cord 'A' through it.
When you draw these two joints together, they each enclose the other forming a strong and secure splice.
However, there are two issues.
1. As you saw when drawing the two joints together, the splice is directional, and you want your splice to function from both directions - to resolve this, stitch the splice together.
and
2. The cord you show is substantial. May I presume you have chosen it for hand comfort and looks? If this is the case, then consider removing the core from the non handle loop areas. This will make all your splices much easier and tidy.
Derek