His latest captures are fleet-footed left-winger Tom Byrne from Hinckley United, and striker Luke Keen, top goalscorer with Rugby Town last season.
"They are two more excellent additions," said the Oval boss. "They are both in their early 20s, and bought into what we are trying to achieve at Bedworth."
Byrne, 24, started his career as a youngster at Kidderminster where he made two first team appearances, and Keen, 22, has also played for Redditch United and Stafford Rangers.
The Greenbacks other new signings are goalkeeper Andy Kemp (from Banbury United), midfielder Sam Belcher (from Hinckley United), and striker David Kolodynski (from Leamington).