、。
She was raised by a weak-willed mother, so she has a serious sweet tooth.
Literal
She [topic-は] will [of-の] weak mother [by-に] was-raised [because-ので], sweet-things [subject-が] very-fond.
Two clauses linked by ~ので. The first uses passive 育てられた ('was raised by') with に marking the agent — by mom — and 意志の弱い modifies 母親 directly ('a weak-willed mother'). The second clause attributes a present-day taste to that upbringing: 甘いものが大好きだ ('loves sweet things'). The implication is that the mother let her have whatever sweets she wanted as a child, instilling a lifelong fondness — a small psychological story compressed into one sentence.