In our daily unexamined routines of language, we easily overlook linguistic gaps.
In our daily unexamined routines of language, we easily overlook the linguistic gaps.
In our daily unexamined routines of language, we easily overlook linguistic gaps.
In our daily unexamined routines of language, we easily overlook the linguistic gaps.
Your sentence can work in both versions. But the first one is the best in your sentence current structure as you are talking about those gaps in general. Whereas in the second version, I would expect as a reader "the linguistic gaps" to be defined either previously or in the current position of their mention since they have become specified by the addition of the definite article.
A clarification example (which means that the following extra text isn't necessarily the one to add. This solely depends on what you want to convey):
In our daily unexamined routines of language, we easily overlook the linguistic gaps that are about syntax, grammar, and phonetics concepts.
Or even better
In our daily unexamined routines of language, we easily overlook the linguistic syntax, grammar, and phonetics gaps.
Here's an article about this matter.