"We've done what we can so that it cannot happen again. I would have thought it would be reasonable, on that basis, that we be given a second chance."
A council investigation concluded the dogs attacked the lambs after disappearing for 30 minutes while being taken for a walk by the couple.
A witness stopped at the scene after seeing one of the dogs on the road and, after identifying and photographing both dogs and the injured sheep, arranged for his partner to contact the farm's manager.
Another witness reported seeing the dogs chasing sheep in a paddock earlier that month.
A council officer's report contains graphic photos of dead and injured lambs with gaping wounds to their throats, legs and abdomen.
Mrs Rodwell said it did not seem fair, after 17 months with no further incident, the classification would remain on their dogs "for the rest of their lives".
Mr Rodwell suggested there be a demerit points system for dog owners like that for errant drivers.
A menacing dog classification means a dog must be confined to a vehicle or cage or muzzled while in a public place.
The panel is expected to release its decision within a week.