I realized that it was LaTeX, but I wanted to make sure. So there are 2 possible fixes for this.
First, correctly identify quotation marks. That is, using " is displayed incorrectly. I will be honest, I did not know about it until I came across the following message ( link ). I think this will be the right thing.
The second way is to modify the tmLanguage file. The following scope applies to this invalid.illegal.string.quoted.double.latex line. You can remove the associated template from the tmLanguage file, and it should stop this selection. If you want to go this route, let me know and I can provide additional instructions on how to do this.
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