The sequence in buddhism from Kītāgirisutta connect to Yuganaddha Sutta

Samatha leading is for taṇhācarita, vipassanā leading is for diṭṭhicarita.

The tandem-bhāvanā is balava-vipassanā (pahāna-pariññā) and above, the proper-bhāvanā before that is depend on the purification of steps, like I described in the link above. Because if 2 base-purified-steps (sīla&samatha) are not pure enough, 5 head-purified-steps can't be tandem with samatha-purified-steps.

AN11.1

AN11.1 is for person who already practiced sīla [purified virtual;sīlavisuddhi], so your qoute is just a part, not whole process line.

Every person (monk or lay person) should start with the cultivation of virtues (sila) - the starting point for virtue according to other suttas is the five precepts

Every person should start with the proper step of them. It depends on personal ability, not lay or monk, like I described here.

The step example:

kītāgirisutta:

"Monks, I do not say that the attainment of gnosis is all at once. Rather, the attainment of gnosis is after respectively training, respectively action, respectively practice. And how is there the attainment of gnosis after respectively training, respectively action, respectively practice?

1. There is the case where, when conviction has arisen, one visits [a teacher].
2. Having visited, one request to be his attendant (see vinaya mahāvagga mahākhandhaka, and CH. III TAKING A MEDITATION SUBJECT of Visuddhimagga)
3. Having been attendant, one listen carefully.
4. Having listened carefully, one hears the Dhamma.
5. Having heard the Dhamma, one memorizes it (dhatā=sutadharo).
6. Having remembered by memorizing, one ponders the meaning of the teachings.
7. Having pondered the meaning, one comes to an agreement through pondering the teachings.
8. There being an agreement through pondering the teachings, wish-to-do arises.
9. When wishing-to-do has arisen, one exerts.
10. When one exerted (an effort), one meditates insight.
11. Having meditated insight, one dedicates his life.
12. Having dedicated his life, one realizes with the mind (discernment's body) the ultimate truth and, having penetrated, enlightened, it with discernment, sees it.

"Now, monks, there hasn't been that conviction, there hasn't been that visiting, there hasn't been that attending ... that listening carefully ... that hearing of the Dhamma ... that memorizing ... that penetration of the meaning of the teachings ... that agreement through pondering the teachings ... that wishing-to-do ... that effort ... that meditating insight ... that dedicating his life. You have lost the way, monks. You have gone the wrong way, monks. How far have you strayed, foolish men (moghapurisa), from this Dhamma & Discipline!

Above sequence appear in most tipitaka content:

1st-2nd are the 1st-2nd poems of Sutta. Khu. khuddakapāṭhe maṅgalasuttaṃ (the 1st of every maṅgala), anwsering to Brahmā Sahampati (the 1st time buddha decided to teach), VN Mahāvagga Mahākhandhaka (the 1st door to be a monk), Visuddhimagga Kammaṭṭhānaggahaṇaniddeso kammaṭṭhānadāyakavaṇṇanā, Sutta. Aṅ. (4): aṭṭhaka puṇṇiyasutta, etc.

3rd-7th are the 3rd poems of Sutta. Khu. khuddakapāṭhe maṅgalasuttaṃ, the qualification of nissayamuccaka-bhikkhu in VN Mahāvagga Mahākhandhaka, 1st Mātikā of Sutta. Khu. Paṭisambhidāmaggo, the study system in Visuddhimagga Kammaṭṭhānaggahaṇaniddeso kammaṭṭhānadāyakavaṇṇanā and Khandhaniddeso uggahaparipucchāvasena ñāṇaparicayaṃ katvā, etc.

8th and the others are training steps, adhisīla adhicitta adhipaññā. The sequence is follow to MN rathavinītasutta, Sutta. Khu. Paṭisambhidāmaggo, and Visuddhimagga, etc. Every person should start with the proper step of them. It depends on personal ability, not lay or monk, like I described here.

For Yuganaddha Sutta (AN4.170) is the same as I described here, except just dhammuddhacca which is vipassanūpakilesa in Visuddhimagga Maggāmaggañāṇadassanavisuddhiniddesa.

Samatha leading is for taṇhācarita, vipassanā leading is for diṭṭhicarita.

The tandem-bhāvanā is balava-vipassanā (pahāna-pariññā) and above, the proper-bhāvanā before that is depend on the purification of steps, like I described in the link above. Because if 2 base-purified-steps (sīla&samatha) are not pure enough, 5 head-purified-steps can't be tandem with samatha-purified-steps.