Lambert rewarded both men with new contracts but told them to keep progressing when the new term starts in August.
He told Villa's website: "They have got to kick on again. There is no point in doing it for one year and then resting. You have to go again then again and again.
"Every year you have to step up to the plate and this year will be no different. The lads have done great but you have to kick on again and not rest on it.
"If they do that then hopefully their careers will keep going the right way.
"They are young enough lads so they've got so many years ahead of them. The platform is there for them in terms of what they did last season."