[losercover]

Over a 1M bid by responder,we have been reluctant to raise with weak 3 card support in the major

Over a 1NT rebid by opener we played 2C as checkback stayman showing a 5 card major and 10 or more points.
Over my objections,we are now playing NMF over the 1NT rebid

Over 1C,1M,2C, we play 2D as NMF showing a 5 card major and 10 or more points. I can't this definition anywhere.

Is there a name for the 2D bid or is it natural? Forcing or non forcing?

Over 1D,1M,2D what is 3C? Is it natural? Is it forcing

[Stephen Tu]

In standard, 1C-1S-2C-2D is semi-natural and forcing, and 2H is also semi-natural and forcing; same for 1d-1M-2d-3c. They fall under the general std principle of "new suits forcing by unpassed responder, except for after opener's 1nt rebid" (NMF is an "exception to the exception"). If you are playing a non-std treatment of 1C-1S-2C-2H as NON-forcing, 2D is used as forcing, and has there is no standard name for this, it depends on what followups are used, which include "Bourke relay" and TSAR.