Let's look at your sentence:
The beaver makes its home from sticks and clay. The lodge is safe in the water and beavers dive underwater to get inside.
It's almost correct but can be made smoother with a small change. Instead of 'makes its home from,' we usually say 'makes its home out of' or 'builds its home from.'
Here is a better version:
The beaver builds its home out of sticks and clay. The lodge is safe in the water, and beavers dive underwater to get inside.
I added a comma before 'and' in the second sentence to separate the two ideas clearly.