O.K., let me get this straight:
Eb / Eb-G-Bb-D + F, C, D = Eb/ C-D-Eb-F-G-Bb-D
Is this what you're asking me? If so, it's an EbM13. The addition of the C makes it a 13th chord.
If not, then could u repeat the question better or spell it out how you're playing it.