c# list of unspecified type

I've created a generic search parameter class for reuse in several libraries (see below). I'm trying to find a better way to implement the list of values for each parameter. I will be passing a list of the parameters but inconsistent types for each parameter. I've implemented it as simply an object and will convert to the correct type as necessary in my code, but I feel like there is probably a better way to do this and I'm not coming up with much. Anyone done anything similar or have a suggestion? Thanks!

Generic Abstract Class:

public class SearchParameter<T>
{
    public T Name { get; set; }
    public List<object> Values { get; set; }
}

Inheriting Class:

public enum OrderSearchParameterNames
{
    Barcode,
    DateCompleted,
    DatePlaced,
    OrderStatus,
    UserId
}

public class OrderSearchParameter : SearchParameter<OrderSearchParameterNames>
{
    public OrderSearchParameter(OrderSearchParameterNames name, List<object> values)
    {
        Name = name;
        Values = values;
    }
}

Example of method using the inherited class:

public ApiResponse<OrderWellplate, ApiResponseStatus> SearchOrders(int currentPageIndex, int pageSize, List<OrderSearchParameter> searchParameters, OrderSortParameter sortParameter, out int recordCount)

via Chebli Mohamed