Giants coach Luke Robinson had urged his players to make sure Cudjoe’s remarkable one-club career had a happy home finish.
But he was left kicking seats with frustration as his misfiring team struggled to break down Paul Rowley’s collection of loan signings, misfits and youth players.
The Red Devils are sure to finish bottom after a traumatic season which has seen them twice have HMRC winding-up petitions adjourned, allowing them to complete the campaign.
They have also suffered a player exodus and sustainability cap issues, and last week lost assistant coach Kurt Haggerty, who was earmarked to replace Rowley next season, due to their perilous financial position.
They have rallied under Rowley, however, and forward Sangare marked his 150th career appearance by barging his way over the line after just seven minutes.
And with Milnes converting and then kicking a penalty it looked like the away side would go into the break with an eight-point cushion.
Huddersfield, struggling for rhythm and ideas, and without a try in their two previous matches, finally pieced something together as Swift caught a high ball and off-loaded to Joe Greenwood, who sent Golding over for his first try of the season.
Huddersfield hammered away in the second half with little success until Swift, after a spell on the bench, returned with the energy to step inside and pirouette over the line.
Salford cracked, and Gagai caught Oliver Russell’s chip to score before Tiaki Chan and George Flanagan were sin-binned for a scuffle.
Rush’s try in the final minute set the scene perfectly for Cudjoe, who duly slotted the ball between the posts.