My mother taught me how to make miso soup.

Literal

Mother [subject-が] miso-soup [possessive-の] make-way [object-を] taught-[for-me-てくれた]

作り方 = 'way of making' — verb stem + 方 (かた) is a productive pattern for 'how to do X.' ~てくれた marks the action as a favor received by the speaker. 味噌汁 (みそしる) = miso soup.