So, the grass (not the block) has that X model if we look at it from upwards. These X models are on the leaves too but with the leaves' texture.
I don't use a resource pack.
I use Optifine (1.7.10_HD_U_D6) but none of the Optifine settings can solve this issue.
Through Carpenter's Blocks this issue doesn't show up.

Mod version: BetterFoliage-MC1.7.10-2.0.15