Lizard requires mapper 34 (512k BNROM). I don't know if your NESMaker cartridge can be reconfigured for mapper 34 instead of mapper 30, but it can't run on mapper 30.
InfiniteNESLives has definitely made a mapper 34 board. It's what the Lizard cartridges are built on.
I don't know if mapper 34 boards are offered for sale, but you can e-mail them to ask. The "coming soon" statement may be out of date. Otherwise you can run Lizard on a PowerPak, or an Everdrive N8, or there are other options like ReproX, but if you want something you can program easily with the flasher you got for NESMaker, you'll probably need a flashable board from InfiniteNESLives.