、。
She covered her ears with both hands so she couldn't hear the noise.
Literal
She [topic-は] noise [subject-が] not-be-audible [so-as-to-ように] both-hands [with-で] ears [object-を] blocked.
Several patterns. ~ように with a non-volitional or potential verb expresses negative purpose ('so that X doesn't happen'). 聞こえる is the spontaneous-perception verb 'be audible / be heard' — distinct from 聞く ('listen actively'). 両手で marks the means (instrumental で) — 'with both hands.' ふさぐ ('block, plug, cover, obstruct') applies to ears, eyes, mouths, holes, gaps; 耳をふさぐ is the standard 'cover one's ears.'