Does a manufacturer under the composition scheme need to maintain details of accounts of every supply received and made

No, the requirement to maintain detailed accounts of stocks in respect of goods received and supplied, work in progress, lost, destroyed etc. does not apply to a manufacturer under the composition scheme.
Such a person shall maintain a true and correct account of production or manufacture of goods, inward and outward supply of goods, stock of goods, tax payable and paid.

(FAQ 52: MSME)