C# Entity framework Checkbox selected items as search string

So I have a search input field and a working search function.

search result = db.Recipes.Where(r => r.Ingredients.Any(i => FilteredsearchString.Contains(i.Ingredi‌​entName)));

But I want to make it possible to select items from a checkbox list displayed on the page so they would be added to the input field when checked and removed when unchecked.

foreach (var ingredient in ingredients)
                            {
                                if (@ingredient.IngredientCategory == 0)
                                {
                                    <label class="btn btn-primary veggies">
                                        <input type="checkbox"
                                               name="selectedIngredients"
                                               class="badgebox"
                                               value="@ingredient.IngredientID" />
                                        @ingredient.IngredientName
                                        <span class="badge">&check;</span>
                                    </label>
                                }
                            }

The checkbox fields are generated using ingredients from the database. What would be the best way to do this ?