Your links says:
Six internal SFF-8643 HD Mini SAS connectors support up to twenty-four 6Gb/s 3.5" or 2.5" SATA (II or III) or SAS 6 or 12Gb/s hard drives
Each SAS ports supports 4 drives. The "8i" card is named that because it has 2 SAS ports to support 8 internal drives. Most people use breakout cables that are SFF-8087 (internal SAS port) to 4X SATA but you've got a backplane so you don't want that.
You can either buy an expensive LSI SAS 24i card like this which has 6 SAS ports (6 ports x 4 drives = 24 drives)
https://www.ebay.com/itm/133151982832
Or get the 8i card together with a SAS expander card like this
https://www.ebay.com/itm/305142758393
The SAS expander card doesn't work by itself. You connect 1 or 2 ports to the main SAS HBA card. Then you can connect the other SAS ports to your backplane. It also only needs power from the PCIE slot, the data is all sent over the SAS cables back to the HBA card.
You would need some SFF-8087 to 8087 cables to connect the HBA card to the expander card and then some 8087 to 8643 cables to connect to the backplane.
https://www.amazon.com/10Gtek-Internal-SFF-8643-SFF-8087-0-8-Meter/dp/B01AOS4RFQ