Learn Russian: Нам не хватает сосны и дуба для производства.

You can turn the verb phrase into the noun нехватка (shortage/lack). Since formal prepositions of cause like ввиду and вследствие require the Genitive case, you would use нехватки. For example: Ввиду нехватки сосны... (Due to a lack of pine...) or Вследствие нехватки дуба... (As a consequence of a lack of oak...).

Why is the sentence structured as нам не хватает instead of мы не хватаем?

The verb хватать (to be enough / to suffice) is used impersonally here to express lacking. The person who lacks something takes the Dative case (нам), and the thing that is lacking takes the Genitive case (сосны и дуба). Literally, the sentence is structured as "To us, there is not enough of pine and oak."

Why are сосны and дуба in the singular Genitive? Wouldn't a factory need multiple trees?

In this manufacturing context, сосна (pine) and дуб (oak) are being used as uncountable mass nouns referring to the wood material, not individual trees. Just like in English, when referring to the lumber rather than the plant itself, Russian uses the singular form.

Хватает is imperfective. How would we change this sentence to the perfective future to say "We won't have enough pine"?