This expression means; To put up with something / to accept disadvantages without protest.

It’s not entirely clear where this idiom comes from, but its origin is
easy to guess: Sausages were once particularly expensive and
valuable. They are also nutritious, and bread with a slice of sausage
simply tastes better than plain bread. If you let someone take the
best and most valuable part of your sandwich, it implies that you
tolerate a lot from others without protest.
The phrase is also often used in its negated form: If someone says,
“I won’t let them take the sausage off my bread!” they mean that
they won’t tolerate being taken advantage of.