Gooda, 22, played under Gladiators boss Steve Kittrick at Scarborough, and left the Seadogs in the summer.
He will go in to the Matlock squad for Saturday’s home clash with South Shields.
The former Barnsley junior, who has also played for Frickley and Harrogate, joins former team-mates Luke Dean and Josh Lacey at Matlock.
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