Eyes, teeth, etc. not following the rigged model

I’ve made my first rig on a human model, but, as the title mentions, eyes, gum, teeth, and the tongue stay put in place since they are separate meshes. What am I missing? Do I have to parent them to the main mesh, and do the automatic weight armature again? Or else?

Thanks in advance.

Blender ver. 3.6

You should parent them to bones, not to main mesh.
Click on armature → edit mode (TAB) → click bone you want ot parent mesh to → object mode (TAB) → click on mesh → SHFT+ click on Armature → CTRL+P- > choose bone from menu

On top of parenting to bones, it can matter which bone, especially for the eyes.

If you happen to be using Rifigy for the rig, then I made a video that may help.