This is the 8022nd most frequent Russian word.
красногвардейского
"Of or relating to the Red Guards."
Here, 'красногвардейского' is used as part of a proper noun, referring to a district named after the 'red guards'.
Он жил в Красногвардейском районе города.
He lived in the Krasnogvardeisky district of the city.
In this case, 'красногвардейского' describes the movement, indicating its association with the Red Guards.
В музее была выставка о красногвардейском движении.
In the museum, there was an exhibition about the Red Guards movement.
Here, 'красногвардейского' is used to characterize the unit as being a part of the Red Guards.