What is meaning by this saying

Yes

If "A" issue a cheque to "B"

than A debit of B account in self (A) book

and B Credit of A account in self (B) book

when you hear some one saying " our account is credited by them" , then you are over hearing, a team which either controls the receivables/payables or team which details with bank reconcilations.

When some one says our account is credited,  that means you have an information or an intimation from a third party that they had marked a credit and in our books we need to make a corresponding debit.  Proper references for the transactions to be maintained which can come handy while doing recon in a future date