However, Hull KR’s win was tinged with the disappointment of losing both full-back Niall Evalds and second-rower Rhyse Martin to early injuries.
Rovers were already without first-choice half-backs Tyrone May and reigning Man of Steel Mikey Lewis because of their respective injury problems.
Evalds was involved for just over a minute of the match before he was caught by a high tackle by Jayden Nikorima, which resulted in a yellow card for the Salford man.
While Evalds went off for a head injury assessment (HIA) which he subsequently failed, his replacement Tanginoa made an immediate impact, breaking through a couple of Salford tackles to score almost straight after his introduction.
Gildart and Davies then made the most of overlaps out wide to make it 16-0.
Indiscipline did not help Salford’s cause, with Danny Richardson – who took on goal-kicking duties after Martin was forced off with a knock – slotting through two penalties to extend the hosts’ advantage to 20 points by half-time.
Broadbent marked his 100th career appearance with a second-half try, the centre darting through a gap to run in from 25 metres, before Whitbread’s double and a seventh Hull KR try from Litten completed the scoring.
Salford, who had Chris Hill sin-binned late on for holding down a tackled player, endured a frustrating night and were well below their best.
They remain at the bottom of the table, their start to the campaign having been heavily disrupted by off-field matters, with a takeover deal being approved earlier this month.