
die Anfertigung
production
The process of making or producing something, often to order or according to specific requirements.
Die Anfertigung des Maßanzugs dauerte mehrere Wochen.
The production of the tailored suit took several weeks.
production / creation
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production
The process of making or producing something, often to order or according to specific requirements.
Die Anfertigung des Maßanzugs dauerte mehrere Wochen.
The production of the tailored suit took several weeks.

finished piece
An object that has been made; a product, a copy, or a written piece of work.
Bitte geben Sie Ihre schriftliche Anfertigung bis Montag ab.
Please hand in your written piece by Monday.
'Anfertigung' (production/creation) is derived from the separable verb 'anfertigen' (to make/produce), which means 'herstellen' (to manufacture) or 'erstellen' (to create). The verb is often used for custom-made products or official documents.
Der Schreiner hat den Schrank nach meinen Wünschen angefertigt.
The carpenter made the cabinet according to my wishes.
The context tells you whether the manufacturing process or the finished product is meant. If it is about duration ('die Anfertigung dauert' — the production takes time), the process is meant. If it can be handed in or counted ('eine Anfertigung einreichen' — to submit a piece of work), the product is meant.
Die Anfertigung der Prototypen dauert zwei Wochen.
The production of the prototypes takes two weeks.
When the manufacturing process is meant, 'Anfertigung' (production) often appears with the preposition 'von' (of) and the material or product. A common phrase is also 'die Anfertigung von etwas in Auftrag geben' (to commission the production of something).
Wir haben die Anfertigung der neuen Broschüren in Auftrag gegeben.
We commissioned the production of the new brochures.
production
Herstellung generally refers to the production process for goods. Anfertigung is especially appropriate when an individual item is made to order or according to specific requirements. Herstellung is therefore usual for general production, while Anfertigung is used for an individual order.

Die Anfertigung dieses Tisches erfolgt nach den Wünschen des Kunden.
This table is made according to the customer's wishes.
Die Herstellung dieser Tische erfolgt in einer modernen Möbelfabrik.
These tables are produced in a modern furniture factory.