“Texas bubble gum machine” was a description of a police car in the popular movie Smokey and the Bandit (1977). The term seems not to be used anywhere else.
   
   
Urban Dictionary
Texas Bubble Gum Machine
A state trooper’s car, usually from the Lone Star State. The term became popularized in the film “Smokey and the Bandit.”
We just passed a Texas Bubble Gum Machine at 100 Miles Per Hour.
by T-Dog Jenkins Feb 24, 2005
 
Internet Movie Database
Plot summary for
Smokey and the Bandit (1977)
 
Bandit and Cledus are two truck-driving southerners who accept a dare from big-shots Big and Little Enos to pick up a truckload of beer from Texas and return it to them within a specified amount of time. Picking it up is simple enough, but as they are leaving Texas, Bandit unwittingly picks up Carrie, a hitchhiking bride-to-be who just left her groom, Junior, at the altar. Junior, however, is the son of Sheriff Buford T. Justice. And when Buford and Junior discover what has happened, they go on a “high-speed pursuit” across the Southeast to catch the bandit. Written by {jgp3553@excite.com}
     
Smokey and the Bandit (1977) - Screenplays for You
CLEDUS
(into mike)
That’s a Texas bubble gum machine on your back porch.
 
Smokey and The Bandit Script - Dialogue Transcript
That was a Texas bubblegum machine on your back door.
 
- A Texas bubblegum machine?
- Yeah, I saw him.
 
You ain’t gonna believe this, but that crazy sombitch tried to drive up under my truck.
       
What’s a Texas county mountie doing in Arkansas?