How do you post misc deposits like a GST refund that there is no A/R posting or invoice for.

How did you post the original entry that led to the GST report?

I used GST as an example but say we get monies in as a cheque or wire that are unrelated to our A/R  - no sales invoice created.

How to post to cash and an expense account.

First there will be no posting to an expense account for money coming into a business. It will either be revenue from the sale of goods or services or it will be a cr to a balance sheet account.

Other than revenue there are very few sources of money to a business and the source of the funds will tell you how to post it.

The funds could come from the sale of assets in which case the entry will be a dr to the bank and a cr to the appropriate asset(s) and perhaps accumulated amortization after taking into account any GST/HST implications.

The funds could be borrowed, either from a bank or other financial institution or from a shareholder or other outside person. In this case the dr will still be to the bank and the cr to the appropriate liability account.

For a corporation there could be a sale of shares. The entry will be a dr to the bank and a cr to the appropriate share account.

For a partnership or proprietorship there could be a contribution. Again, dr the bank and now cr partner's or proprietor's contributions.

That's about it. The key is follow the paper. Where did the funds come from? That will tell you how to post the entry