Please see attached pictures. The picture in all blue was the original that got us interested to be begin with. The picture with yellow dog was someone's fail attempt, below is the corrections we need made.....
The blue and red picture is the color and effects we want with our  bone.....

The yellow should be a uniform color. It doesn't need to fade or transition or be 3 different shades. 

Whiskers are strange looking when enlarged. Fix that somehow. 

the bone should be in the mouth without gaps
The bone should have the coloring/texture of the pic of the two hands. That is what we want. 

Redo the lettering if something better can be done. 

Whatever is going on inside the bone for texture, get rid of it. Also, the bone is too perfect with absolutely straight lines. Let's fix that without overly complicating it. 

Fix the eyebrows but keep them. Fix the eyes but keep them similar I would think. 
If you have any questions, please let me know.

Thank you so much! You did such an amazing job. I LOVE our logo! 

Ugly Dog HVAC