Rina is in the home economics club, mainly doing Western-style sewing.

Literal

Rina [topic-は] home-economics-club [at-で], mainly Western-sewing [object-を] doing.

家政部 is a school club for home economics. 洋裁 (ようさい, 'Western sewing/dressmaking') contrasts with 和裁 (わさい, 'Japanese-style sewing' — kimono construction). 主に ('mainly') scopes the activity. やっている is the casual progressive. A slice-of-life sentence about school club activities.