You can apply a fully opaque texture to the eyes to achieve a more non-human visual effect for your character. Before editing the eye textures, join the two eye objects to texture them both at the same time. Then texture paint the entire eye, starting with the outer eye, moving to the inner eye, and finishing with the pupil.
To texture your eye mesh objects:
If you haven't already, increase the texture image resolution.
In the Outliner, toggle the Hide in Viewport option for the Head_Geo, LowerTeeth_Geo, Tongue_Geo, and UpperTeeth_Geo. Leave the eye mesh objects visible.
In Object mode, hold Shift and click on both LeftEye_Geo and RightEye_Geo, then right-click and select Join (CtrlJ; ⌘J) from the contextual menu to join the objects. The two objects merge using the name of the last object selected.
Switch to the Texture Paint tab, then with the Draw tool active, set the following brush settings in the tool sidebar for the outer eye shadow.
In Brush Settings, set Radius to 50px and Strength to 1.0.
In Color Picker, set Color to black.

Completely paint the eye objects black. This serves as the basis for the outer eye shadow.
With the Draw tool active, set the following brush settings in the tool sidebar for the outer eye color:
In Brush Settings, set Radius to 75px and Strength to 1.0.
In Color Picker, set Color to a deep yellow.

In the Texture Paint tab's 2D view window, line up your cursor to the center of the UV map that corresponds to the eye texture. Click 4-6 times on the center of each eye to create an outer eye color over the base shadow.
For visibility, enable Head_Geo visibility and reorient the camera to a front-facing view.
Paint the inner eye color using the following suggestions:
Click the X Symmetry button to enable symmetry. Toggle this off if creating asymmetrical assets.

In Viewport Overlays settings, enable Wireframe geometry view. You can toggle this overlay off when spot checking your visual elements.

Update your brush settings in the tool sidebar for the inner eye:
In Brush Settings, set Radius to 5px. You can quickly change this radius as you paint by holding F.
In Color Picker, set Color to red.

Periodically make the head mesh visible to ensure your eye texture works with the rest of the model.
Update your brush settings in the tool sidebar for the pupils:
In Brush Settings, set Radius to 5px. You can quickly change this radius as you paint by holding F.
In Color Picker, set Color to a bright red.

Using the Brush tool, paint the pupils of your model.
After completing your texture painting, switch back to Edit mode.
Hold Shift, click on both of your eye objects, press P, and select By Loose Parts from the contextual menu to separate the two meshes.
Rename your remaining mesh to the original RightEye_Geo or LeftEye_Geo name.