Repeated Code

I can see the repeated code, which can be removed by introducing following method:

public static void AddToSoonestDrawDateModel(SomeType item)
{
    var sdModel = new SoonestDrawDateModel
    {
        DrawDay = item,
        DrawDayId = item.DayId,
        CutOffDayId = item.CutOffDayId
    };

    soonestDrawDateModel.Add(sdModel);
}

After refactoring code should be like this:

var soonestDrawDateModel = new List<SoonestDrawDateModel>();

foreach (var item in drawDates)
{
    AddToSoonestDrawDateModel(item);

    item.DayId = item.DayId + 7
    AddToSoonestDrawDateModel(item);
}

var realDrawDates = soonestDrawDateModel.OrderBy(x => x.DrawDayId);

Obviously, it is not LINQ, but it is more neat, readable and less repetitive code.

Repeated Code

I can see the repeated code, which can be removed by introducing following method:

public static void AddToSoonestDrawDateModel(string day, int dayId, int cutOffDayId)
{
    var sdModel = new SoonestDrawDateModel
    {
        DrawDay = day,
        DrawDayId = dayId,
        CutOffDayId = cutOffDayId
    };

    soonestDrawDateModel.Add(sdModel);
}

After refactoring code should be like this:

var soonestDrawDateModel = new List<SoonestDrawDateModel>();

foreach (var item in drawDates)
{
    AddToSoonestDrawDateModel(item.Day, item.DayId, item.CutOffDayId);
}

var realDrawDates = soonestDrawDateModel.OrderBy(x => x.DrawDayId);

Obviously, it is not LINQ, but it is more neat, readable and less repetitive code.