The pair are reunited with Edgar Street boss Richard O’Kelly, who was the long-serving assistant to former Rovers boss Sean O’Driscoll before they left the club last September.
Defender Chambers, 31, is looking to get games under his belt having recently recovered from a long-term knee injury.
Baxendale, a 19-year-old attacking midfielder, recently completed a loan spell with Buxton in the Evo-Stik League Premier Division.
Grimsby are open to talking to Sol Campbell about their vacant managerial position - and the former England defender wants to make it happen.
Grimsby are open to talking to Sol Campbell about their vacant managerial position.