Rose, described by colleagues as highly knowledgeable and the "go-to guy" at the Southdown power station, would buy goods from a real company, add a mark-up and sell them to MRP.
Paul Rose is not challenging his convictions but Jane Rose is now appealing hers
The appeal concerns her convictions only and not the sentence Jane Rose received, which was more lenient than the SFO had pushed for.
When sentencing Jane Rose in May, Justice Rebecca Edwards said she played a secondary role in the offending and, unlike her former husband, owed no legal duty to MRP.
"You were not in a position of trust and confidence," the judge told her.
However, Justice Edwards said the offending gave Jane Rose a lifestyle she could not have enjoyed if she had not assisted her then-husband with his deception of MRP.