You are looking at the wrong type of distribution block.
You’d be best off to just add a short length of cable, put it and the speaker cables together in a wire-nut and hook the short cable to the Amp.
If you really want a distribution block you need something like 2 of these for the left and right channels.
https://www.amazon.com/Recoil-Positive-Negative-Terminals-Distribution/dp/B09YQ36ZGZ/ref=sr_1_15
It won’t be so easy, but if your wire ends are very neat, you should be able to stuff them into the binding posts.
I’m not keen on using wire nuts for stranded speaker wire.
The MONOPRICE gadget will be OK to use with the SONANCE speakers, but in general it would not be appropriate with three pairs of other 8-Ohm speakers.