No.
For Example: To produce a batch of flour, it takes 10 units of wheat. It will require 10 whether the units are "large" or not - Remember if you're just selling the crops then you'll gain more money at market if they're large. Boxes of crops appear "large" if you hired someone else to harvest them, rather than harvesting them yourself.
This example shows the regular size boxes of wheat on the left and the large size boxes of wheat on the right.
For productions to be used in your facilities you can harvest them yourself or employ others, it makes no difference if you're going to use them in your facilities. For information on when you will get a regular size box and or a large size box see
What are the benefits of hiring someone to work at your farm?