How to make a pre-animated model respond to player input?

I downloaded this model https://sketchfab.com/models/f3769a474a714ebbbaca0d97f9b0a5a0 to use in my game, and it comes with five different animations. I tried following tutorials, such as the survival shooter tutorial, that showed how to control and animate characters in Unity, to apply these animations to my game. However, I am struggling to apply this knowledge to my own game. I have made parameters such as Speed and IsMoving to control whether or not certain animations are played when the model is moved, and applied them to transitions within the animator window, but the model still only moves around in its idle state. The animations simply don't play. I made both an animator script and player controller script, and there are no errors in these scripts, so I don't know what I'm doing wrong. Does anyone know why this happens and how I can make the model enter the correct state when moved?