To complement dm63's answer, if you are looking for a document with precise definitions for what is deliverable into TBA, try the official guidelines established by SIFMA: Standard Delivery Requirements. See Section 3 of TBA Trading and Liquidity in the Agency MBS Market for a solid description of the TBA market and the closely-related Specified Pool Market.
I'll expand a little more since you also appear to be asking about what's TBA deliverable. The Agency MBS TBA market consists of several sub-sectors including the 30-year UMBS Market, the 15-year UMBS market, the 30-year Ginnie Mae II Multi market etc. At the very broadest level, for each of these subsectors, there's a collection of pool prefixes that are deliverable into TBAs. To get a sharper definition, from the universe of TBA-eligible pools take out:
- All specified pools: essentially any pool that commands a payup for any reason (general categories of such pools include low loan balance pools, geographically concentrated pools etc.)
- Locked up pools: Adjust each TBA-eligible pool's outstanding balance by the locked up amount in CMOs, the Fed etc.
There is now another level of filtering applied to this restricted universe to find the subset of pools with the most undesirable prepayment characteristics. Other considerations include projected origination volumes, forward interest rates etc. Putting all of these ingredients together gives you the TBA deliverable for a month. As you can see from the above description, there is no straightforward algorithm that will tell you what the TBA deliverable is from month-to-month, and it is essentially defined by the combined perception of all market participants with respect to the related considerations.
However, we can retrospectively track the TBA deliverable on a month-by-month basis by accessing a few through-the-box (TTB) reports compiled by broker-dealers who make markets in Agency MBS. This report compiles the average collateral characteristics by coupon of what is going through the "box" -- i.e., actually settling (pools directly held on balance sheet by the broker-dealer and pools to be delivered from one customer to another).
Until recently, one could have also scrutinized the publicly-reported characteristics of the Fed's MBS purchases but this is likely to be less important in the future with the Fed letting its MBS balance sheet decline.