The lighting seems to be coming from a different source with your dslr, did you use the same light source from both? You also seem to have your exposure much higher on the dslr and perhaps too short of a shutter speed.
I would try using same light source for both, making sure NOT to use flash on dslr or iPhone, lower exposure on dslr and decrease aperture speed too, if possible use a tripod to keep the camera stable, as the longer the aperture speed, the more important it is to keep a steady lens.
Squidmar have a decent video on photographing minis worth watching maybe?
https://youtu.be/Z84kE8J-804?si=qo3UfxeoNcpnIZQ6
As with anything, practise makes perfect, play around with settings get to know your camera, and learn from others and you'll get it sorted in no time 🙂