In isReadyToDeliver method if all products in order is available (ProductState.AVAILABLE) and if order state is ready to send (OrderState.READY_TO_SEND), method must return true.
I wrote both two part but I couldn't combine them in return phrase,
I wrote return  orderState.andThen(productState) but get this error:   
The method
andThen(Function<? super Boolean,? extends V>)in the typeFunction<Order,Boolean>is not applicable for the arguments(Function<Order,Boolean>)
public class OrderFunctions  {
    public Function<Order, Boolean> isReadyToDeliver() {            
        Function<Order, Boolean> orderState = o -> o.getState() == OrderState.READY_TO_SEND;            
        Function<Order, Boolean>  productState = 
                o -> o.getProducts()
                    .stream()
                    .map(Product -> Product.getState())
                    .allMatch(Product -> Product == ProductState.AVAILABLE);
        return ????? ; 
       //return  orderState.andThen(productState);
       //error: The method andThen(Function<? super Boolean,? extends V>) in the type Function<Order,Boolean> is not applicable for the arguments (Function<Order,Boolean>)      
    }
}
In case other classes are needed:
enum OrderState {CONFIRMED, PAID, WAREHOUSE_PROCESSED, READY_TO_SEND, DELIVERED }
enum ProductType { NORMAL, BREAKABLE, PERISHABLE }
public class Order {
    private OrderState state;
    private List<Product> products = new ArrayList<>();
    public OrderState getState() {
        return state;
    }
    public void setState(OrderState state) {
        this.state = state;
    }
    public Order state(OrderState state) {
        this.state = state;
        return this;
    }
    public List<Product> getProducts() {
        return products;
    }
    public void setProducts(List<Product> products) {
        this.products = products;
    }
    public Order product(Product product) {
        if (products == null) {
            products = new ArrayList<>();
        }
        products.add(product);
        return this;
    }
}
public class Product {
    private String code;
    private String title;
    private ProductState state;
    public ProductState getState() {
        return state;
    }
    public void setState(ProductState state) {
        this.state = state;
    }
    public Product state(ProductState state) {
        this.state = state;
        return this;
    }
}
                If you change isReadyToDeliver() to return Predicate<Order> then you will be able to combine two predicates with .and(Predicate another) function:
public Predicate<Order> isReadyToDeliver() {
    Predicate<Order> orderState = o -> o.getState() == OrderState.READY_TO_SEND;
    Predicate<Order> productState =
                o -> o.getProducts()
                   .stream()
                   .map(Product -> Product.getState())
                   .allMatch(Product -> Product == ProductState.AVAILABLE);
    return orderState.and(productState);
}
Your example with functions composition didn't work, because when you compose functions f and g, g takes as a parameter value that f function returns. In your case it was broken, because orderState expected Order and return Boolean and it this case orderState.andThen() expected a function that takes Boolean as a parameter and returns something else. This requirement was not satisfied, because productState expected Order and returned Boolean. This is exactly what following error said:
error: The method andThen(Function) in the type Function is not applicable for the arguments (Function)
But if for some reason you want to stay with Function<Order, Boolean> then you will have return a lambda like:
public Function<Order, Boolean> isReadyToDeliver() {
    Function<Order, Boolean> orderState = o -> o.getState() == OrderState.READY_TO_SEND;
    Function<Order, Boolean> productState =
            o -> o.getProducts()
                    .stream()
                    .map(Product -> Product.getState())
                    .allMatch(Product -> Product == ProductState.AVAILABLE);
    return (order) -> orderState.apply(order) && productState.apply(order);
}
                        From the two functions orderState and productState
you can create a new lambda expression by using && (the logical and)
and return it:
public Function<Order, Boolean> isReadyToDeliver() {
    Function<Order, Boolean> orderState = ...;
    Function<Order, Boolean>  productState = ...;
    return o -> orderState.apply(o) && productState.apply(o);
} 
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