Layers of pali literature already being in buddha-living-period.
There are many pali literature in buddha's time, such as buddha's literature, sāriputta's literature, mahākaccāna's literature, upāli's literature, etc. Because every mahāsāvaka have there own students.
But the most influential literature are buddha's literature and sāriputta's literature.
4 nikaya are buddha's literature, most of the others cannon are sāriputta's literature, because he is the one who buddha said "sāriputta is the best teacher who can teach like me". So everyone always go to meet sāriputta to listen his teaching, in his literature. But if someone need buddha's literature, they will go to meet buddha or ānanda, who is the best in sutta memorizing.
So, abhidhamma is difference from sutta, because commentary said "abhidhamma is memorized by sāriputta". And the other buddha's sāvaka book also have literature look like sāriputta's literature because everyone in buddha-living-period often go to learn dhamma with sāriputta (see:mahāgosiṅgasālasuttaṃ).
7 Vinaya-pitaka, is memorized by Upāli and his students. He also author some path of parivāra because buddha said in tipitaka (a.n.) "Upāli is the best vinaya-memorizer" (vinayadharānaṃ yadidaṃ upāliฯ).
Suttanta-pitaka is memorized by Ānanda. But in 1st saṅgayanā, 500 arahanta decide to separate whole sutta to 4 nikya.Then they gave each nikya to a group of 4 etadagga and his student to especially memorize it.
Who are the members, of group of 4 etadagga? Ānanda and his students (tn), Sāriputta's students (mn), Kassapa and his students (sn), Anuruddha and his students (an). (The others have learned and memorized dhamma, too, but buddha said "ānanda is the best", so everyone need him in 1st saṅgayanā).
Abhidhamma-pitaka, paṭisambhidāmagga, niddesa, buddhavaṃsa, cariyā-pitaka, except kathāvatthu of moggalliputta, is learned by Sāriputta, But then they are memorized by every arahanta, because everyone in buddha-living-period often go to listen Sāriputta (see:mahāgosiṅgasālasuttaṃ).