Veivers, 48, was sacked by the City Reds earlier this season following a turbulent off-season, and has previously served as assistant coach at Bradford and Wigan, ironically to new Reds coach Brian Noble.
The Australian, a full-back in his playing days, has been in this country since he left Queensland for St Helens back in 1984, spending 12 years at Knowsley Road and also playing for Huddersfield.
He said: "I’ve been away from the game for a few weeks, so I’m really looking forward to working with Brian and putting one over on England.
"We’ve named a strong squad, and part of my role will be to keep an eye on the players we’ve already named and those who are keen to break into it. There are plenty of outstanding players who haven’t been named and the door is still open."
McClennan last week named a 27-man squad, to be captained by Warrington's Brett Hodgson, for the game at the Halliwell Jones Stadium on Friday June 14.
Manchester Rangers have emerged over the last year or two as new contenders in the world of community rugby league.
Wakefield Trinity coach Christ Chester is enjoying his coaching once again, after his previous job at Hull KR put pressure on him personally.
Leigh Centurions have entered a dual registration partnership agreement with Sheffield Eagles for the 2017 season.
Salford forward Josh Jones could be out for the next six weeks after breaking his hand in the friendly win over Rochdale.
Sheffield Eagles have added centre Perry Whiteley to next season’s squad after agreeing a one-year deal.