The screen snapshot that you share is not showing parameters, but connectors. So, the title of your query has little to do with the screen snapshot. So, it is unclear what you really want. However, I can share the following code snippet that shows a possible way to access the name and group of the fabrication part connectors, which corresponds to your picture:
FabricationConfiguration config
= FabricationConfiguration
.GetFabricationConfiguration(doc);
ConnectorSet cons = fabrication_part.ConnectorManager.Connectors;
foreach (Connector con in cons)
{
FabricationConnectorInfo infoFabCon
= con.GetFabricationConnectorInfo();
int id = infoFabCon.BodyConnectorId;
string sg = config.GetFabricationConnectorGroup(id);
string sn = config.GetFabricationConnectorName(id);
string s = sg + "_" + sn;
}