TheFork users who ate in Évreux have said really good things about Les Berges de L'iton, Le Millésime and Halmoni. Maybe you should give them a try!
Some of the more popular Contemporary cuisine restaurants having a terrace in Évreux according to TheFork users include:
Les Berges de L'iton, with a 8.7 rating
Les Domaines Qui Montent, with a 9.7 rating
Ferme du Bourg, with a 9.7 rating