Is this on product listing (category view, search result page)?
If so you need to set the
Used in product listing field to
Go to Stores > Attributes > Product, open attribute
layeredmake, open the 'Storefront Properties' and check the aforementioned field.
Then you should also be able to get the value the following way:
$attribute_string = $product->getLayeredmake();
If this is the case of a product page, then make sure your indexers are up to date and that the product actually has a value for the specific store view.