Made with real key limes. thanks!
Lime will not hurt the grass. All lime does is to raise the pH of the soil. Grass likes a neutral soil or slightly basic. If it is peletized lime, it will raise the pH within a few weeks. If it is powdered lime, it takes several months to effect the pH. The most important thing for you to concentrate on is keeping the sod hydrated by watering it daily when it does not rain. Make sure you only water for 10 to 15 minutes per area. Any longer and the water will go too deep. Never water at mid day when the sun is the hottest. Water in the early morning and early evening if the weather is extremely hot. Grass is a cool weather crop and grows best in spring and fall. I do not suggest any fertilizer until fall, September, to help the roots get established before winter.
Why? Do you want to kill the sod? If you have drainage problems with your sod, the lime definitely needs to be under the sod, not on top of it.
Ideally, a soil test is preformed before laying the sod. Based on those recommendations, the soil is amended with whatever supplements are necessary to match the soil conditions of the grass species you bought in sod. If this was not done in this manner, start with a soil test. Contact your local extension service and ask for help. NC still offers free soil tests!