The tutorial only provides a link to a template literal syntax highlighting plugin for VS Code users. However, Sublime Text users can also implement a VueJS compatible package to get this feature.
They need to install this package: https://packagecontrol.io/packages/JSCustom
And use the following configuration to ensure it works with VueJS requirement to announce the template literal via a
/* html */ ` "selector":
{
"configurations": {
"Vue Backticks": {
"custom_templates": {
"comments": {
"html" : "scope:text.html.basic"
},
},
},
},
}
See more context here: sublimehq/Packages#179 (comment)