Name of Fibre optic motherboard connector, like ethernet socket?
Your photo appears to be SFP/SFP+ transceivers.

SFP isn't really a connector type, is a transceiver standard. The actual connector (on the switch side) is a board edge connector, the other side can be a wide variety of connectors.

If it's the actual fibre connector you're talking about, probably LC connector, which is the optical connector used in just about every optical SFP module (LC connectors can be used for both SMF and MMF).