As mentioned in one comment under the question the 4 types of yoni/birth mentioned in various Hindu scriptures are --- Udbhija, Andaja, Swedaja and Jarayuja.
I have read about these types of birth in Tantras as well as in Puranas.
Quoting from the book "Essence of Padma Purana":
In this connection, Matali explained how different types of birth are
envisaged and what kinds of difficulties were encountered from birth
through one’s life till the end and so on. Depending on the ‘Karma’ of
a ‘Praani’, births are decided as
‘Udbhija’ (sprouted from Earth like grass, vegetables etc.),
‘Swedaja’ (Krumi, Keeta and Flies), ‘Andaja’ (Birds, Fish etc. born
out of eggs) and ‘Jarayuja’ (Animals, human beings etc. born out of
. As a result of interaction of Pancha Bhutas viz. Earth, Fire, Water,
Wind and Sky, ‘Anna’ or food gets materialised as six varieties viz.
Bhakshya, Bhojya, Peya, lehya, Choshya and Khadya. Anna has twelve end
results viz. Paaka( the cooked), Rasa (liquids), Mala or body reject,
Rakta or blood, Roma (body hairs), ‘Maamsa’ or meat, kesha or head
hairs, Snaayu or sinews, Mazza (marrow), haddi or bones, ‘Vasa’ and
Quoting from Devi Bhagavatam, 13th Chapter of the 3rd Adhyaya (states the same thing which is mentioned in Padma Purana):
- O King! Thus the three varieties, human beings, Devas, and Tiryakas (birds, etc.) and their great subvarieties sprang up.
- The four classes of Jîvas, Andaja (born from the eggs), Svedaja (born out of sweats), Udbhija (plants, etc.) and Jarâyujâ (men,
etc.) were created, being endowed with the fruits of their past
auspicious or inauspicious Karmas, as the case may be
Now, the kind of classification of different types of birth, you are looking for, I don't think you will get some from scriptures. Of course, I can very well be wrong on this, since Hindu scriptures is such a vast subject but that's my opinion since I have not encountered something similar so far.
The only various types of birth mentioned in the scriptures are the ones I mentioned in this answer.