The simplest way is to use
OrderBy(e => String.IsNullOrEmpty(e.TeamName)
This doesn’t require any extension method or custom IComparer
implementation etc.
var entries = repository.Race.Where(e => e.EventId == id)
.OrderBy(e => String.IsNullOrEmpty(e.TeamName))
.ThenBy(e => e.LastName)
.ThenBy(e => e.FirstName);