μιμνῄσκομαι (to remember) appears to be the action of continuous remembrance--of being or becoming mindful of--rather than of momentary remembrance.
μνεία (remembrance) appears to be a specific instance or moment of remembrance.
ποιέω μνείαν (to make a remembrance [alternatively, to make mention]) appears to be the action of momentary remembrance; i.e., to think of.
μνεία γένηται (a remembrance to become, see Is 26:16; Ez 21:37; Ez 25:10) is the occurrence of a remembrance, and conversely, μὴ μνεία γένηται, to never be remembered or thought of.
μιμνῄσκομαι μνείᾳ (to remember with a remembrance, see Dt 7:18; Jer 38:20) is ...?