Two ProductWithFeaturess are equal if they have the same name, and have the same features in the same order.
public class ProductComparer : IEqualityComparer<LinqHomework.ProductWithFeatures>
{
    public bool Equals(ProductWithFeatures x, ProductWithFeatures y)
    {
        return x.Name == y.Name && x.Features.SequenceEqual(y.Features, new LinqHomework.FeatureComparer());
    }
    public int GetHashCode(ProductWithFeatures obj)
    {
        int hash = obj.Name.GetHashCode();
        var featureComparer = new LinqHomework.FeatureComparer();
        foreach (var feature in obj.Features)
        {
            hash = hash * 23 + featureComparer.GetHashCode(feature);
        }
        return hash;
    }
}
This is a simple approach, which can be improved in a number of ways.
First, let's give our FeatureComparer a Default property, so we don't need to keep creating new instances:
public class FeatureComparer : IEqualityComparer<Feature>
{
    public static FeatureComparer Default { get; } = new FeatureComparer();
    // ... as before
}
This lets us write:
public class ProductComparer : IEqualityComparer<LinqHomework.ProductWithFeatures>
{
    public bool Equals(ProductWithFeatures x, ProductWithFeatures y)
    {
        return x.Name == y.Name && x.Features.SequenceEqual(y.Features, LinqHomework.FeatureComparer.Default);
    }
    public int GetHashCode(ProductWithFeatures obj)
    {
        int hash = obj.Name.GetHashCode();
        foreach (var feature in obj.Features)
        {
            hash = hash * 23 + LinqHomework.FeatureComparer.Default.GetHashCode(feature);
        }
        return hash;
    }
}
We're also not handling the case where our methods are passed null, or the name of a feature is null, so let's deal with those. We can also test whether x and y are the same object in Equals.
We'll also do the integer operations in an unchecked block in case it overflows (and the assembly is compiled with /checked).
Note that we use ReferenceEquals instead of ==, in case you end up implementing the == operator in your types.
public class ProductComparer : IEqualityComparer<LinqHomework.ProductWithFeatures>
{
    public bool Equals(ProductWithFeatures x, ProductWithFeatures y)
    {
        if (ReferenceEquals(x, y))
            return true;
        if (ReferenceEquals(x, null) || ReferenceEquals(y, null))
            return false;
        if (x.Name != y.Name)
            return false;
        if (ReferenceEquals(x.Features, y.Features))
            return true;
        if (ReferenceEquals(x.Features, null) || ReferenceEquals(y.Features, null))
            return false;
        if (!x.Features.SequenceEquals(y.Features, LinqHomework.FeatureComparer.Default))
            return false;
        return true;
    }
    public int GetHashCode(ProductWithFeatures obj)
    {
        if (ReferenceEquals(obj, null))
            return 0;
        unchecked
        {
            int hash = obj.Name?.GetHashCode() ?? 0;
            if (!ReferenceEquals(obj.Features, null))
            {
                foreach (var feature in obj.Features)
                {
                    hash = hash * 23 + LinqHomework.FeatureComparer.Default.GetHashCode(feature);
                }
                return hash;
            }
        }
    }
}