Six players – full-back Blair Murray, fly-half Dan Edwards, scrum-half Kieran Hardy, hooker and captain Dewi Lake, tight-head prop Keiron Assiratti, back-row forward Alex Mann – will feature in their fourth Tests of the autumn.
The loss of Rogers and Bristol’s Louis Rees-Zammit means Ellis Mee, who was called up to the squad on Monday, and Rio Dyer are selected on the wings.
Centre Joe Roberts and scrum-half Kieran Hardy come in for the Gloucester pair of Max Llewellyn and Tomos Williams.
Gareth Thomas gets a first start of the autumn at loose-head prop, while there is a new partnership in the second row of Ben Carter and Rhys Davies.
Ospreys lock James Fender is denied the chance to win a first cap by a shoulder injury.
The return of Wainwright means Mann moves to open-side at the expense of Harri Deaves with Taine Plumtree shifting to blind-side flanker.
Cardiff loose-head prop Danny Southworth is in line for a Test debut from a bench that also includes his club-mate Callum Sheedy.
Ten players are set for their first action of the autumn – Mee, Roberts, Dyer, Carter and Davies in the XV and Southworth, tight-head prop Chris Coleman, lock James Ratti, scrum-half Reuben Morgan-Williams and Sheedy on the bench.
Tandy said: “What we want to see from the boys is the same type of effort and performance as we did last weekend.
“I think we showed a lot of attacking intent, a lot of toughness in the way we went about lots of the defensive effort as well, to give the supporters something to shout about.”