While there are no recipe books published specifically for grilling on outdoor electric grills, you can use popular grilling books for ideas.
Cooking Light Way to Cook Grilling: The Complete Visual Guide to Healthy Grilling
This book from Cooking Lights includes more than 125 recipes with over 400 color images covering a variety of grilling techniques.
Weber’s New Real Grilling: The ultimate cookbook for every backyard griller
Weber’s New Real Grilling has more than 200 recipes each with a color photo. The types of recipes include starters, beef, lamb, pork, poultry, seafood, vegetables and sides, and desserts-plus great recipes for rubs, marinades, brines, and sauces.
Weber’s Time to Grill: Get In. Get Out. Get Grilling.
Weber’s Time to Grill includes over 200 recipes specially created to save time without sacrificing classic barbecue flavor. Free mobile tools are also available as a bonus.
Weber’s Way to Grill: The Step-by-Step Guide to Expert Grilling
Weber’s Way to Grill includes and embraces any way to grill so long as it works. Way to Grill includes more than 160 recipes and over 1,000 step-by-step photos. The book also has dozens of rubs, sauces, marinades, and more.