Probably Gaunt
National Archives, RACD Records Vol 18, Page 34 : Leics Yeo badge Patt 3620/1922
Gilding-metal 14 Guage & German Silver 12 Guage (Other Ranks - slider fitting)
Probably FIRMIN.... there was another maker that made badges for the 2nd/1st
National Archives, RACD Records Vol 18, Page 34 : Leics Yeo badge Patt 8895/1916-22 - Official on 22/5/1916 and Obsolete on 24/4/1922.