Hello Sandydi, this is what Wikipedia says about the meaning of 'groove' in a musical sense.
In your case, the word "groove" refers to the "feel" or sense of "swing" created by the interaction of the music played by a band's rhythm section (drums, electric bass or double bass, guitar, and keyboards).
The term is also used in the context of genres outside of Western art music, such as funk, rock music, power groove, fusion, and soul.
Funk and Latin musicians refer to "groove" as the sense of being "in the pocket", and jazz players refer to groove as the sense that a jam session is really "cooking" or "swinging."
Musicologists and other scholars began to analyse the concept of "groove" in the 1990s.
They have argued that a "groove" is an "understanding of rhythmic patterning" or "feel" and “an intuitive sense" of "a cycle in motion" that emerges from "carefully aligned concurrent rhythmic patterns" that sets in motion dancing or foot-tapping on the part of listeners.