From my experience with our GG's (Graeca Terrestris and Grace Soussensis) over the last 2 1/2 years here's what you need to do.
First, they need seperate enclosures. In the wild males and females don't come across each other all the frequently. Each enclosure should be a non-aqaurium of at least 3' x 5'. These are very active tortoises who wander great distances in the wild. On any given day ours are moving around and exploring their enclosures (each is 3' x 8" in size) for 6-8 hours.
Second, use a 60/40 sand/topsoil substrate about 5 inches deep. They like to bury themselves in the top 2-3 inches at night. Include 2-3 half logs they can hide under one on the 70 degree and 1-2 on the 90 degree end. Have a temperature gradient from 70-90 across the enclosure. Keep the temp no lower than 65 at night. Keep the humidity no higher than 50% at any time. Keep a 2" deep bowl filled 1 1/2 inches with water in the enclosure. They drink more than you think and need to keep themselves well hydrated.
Third, can the vegetables. Their diet should be 100% greens. Dandelions, plantain, grape leaves, mallow, and only organic romaine lettuce, endive, escarole, or collards. Give them a full opuntia cactus pad to eat every couple of weeks. Supplement each feeding with either calcium carbonate or HerpNutrition's Grassland Tortoise mix.
Fourth, it takes about a year for them to be fully acclimated to their enclosure. They become very tame when fully acclimated. Set your lights to run a 14-15 day from April through November and a 12 hour day December through March.
The above have worked for us like a charm. We've had no health problems and have hardy, active tortoises. This year will be our first attempt to breed them and based on past experience with other arid species we should have little ones sometime late summer '04.
Good luck