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I did a word search of Bhagwat Gita and also did a Google search and found Sudra & Vaish are mentioned only in following 3 Shlokas

BG9.32

मां हि पार्थ व्यपाश्रित्य येऽपि स्यु: पापयोनय: |
स्त्रियो वैश्यास्तथा शूद्रास्तेऽपि यान्ति परां गतिम् || 32||

māṁ hi pārtha vyapāśhritya ye ’pi syuḥ pāpa-yonayaḥ
striyo vaiśhyās tathā śhūdrās te ’pi yānti parāṁ gatim

O son of Prtha, those who take shelter in Me, though they be of lower birth-women, vaisyas [merchants], as well as sudras [workers]-can approach the supreme destination.

The above Shloka is considered as most damning to Shudra. It equate Shudra, Vaisha, woman and lower birth person at same level but Bhagwan says even these can get supreme distination.

BG 18.41

ब्राह्मणक्षत्रियविशां शूद्राणां च परन्तप |
कर्माणि प्रविभक्तानि स्वभावप्रभवैर्गुणै: || 41||

brāhmaṇa-kṣhatriya-viśhāṁ śhūdrāṇāṁ cha parantapa
karmāṇi pravibhaktāni svabhāva-prabhavair guṇaiḥ

The duties of the Brahmins, Kshatriyas, Vaishyas, and Shudras—are distributed according to their qualities, in accordance with their guṇas

BG 18.44

कृषिगौरक्ष्यवाणिज्यं वैश्यकर्म स्वभावजम् |
परिचर्यात्मकं कर्म शूद्रस्यापि स्वभावजम् || 44||

kṛiṣhi-gau-rakṣhya-vāṇijyaṁ vaiśhya-karma svabhāva-jam
paricharyātmakaṁ karma śhūdrasyāpi svabhāva-jam

Agriculture, dairy farming, and commerce are the natural works for those with the qualities of Vaishyas. Serving through work is the natural duty for those with the qualities of Shudras.

While Agriculture, dairy farming and Commerece is assigned to Vaish, Serving other Varna is assigned to Shudra.