Ashton Kutcher to Demi Moore: Keep Your Trap Shut About My Business

Ashton Kutcher is no fool ... he's willing to give his forever-estranged wife Demi Moore all of the financial records of the technology business he started AFTER they split ... but only if she signs a confidentiality agreement.

As TMZ first reported ... the former couple's divorce is being bogged down by various financial demands Demi is making. Demi -- who's worth a lot more than Ashton -- wants, among other things, a piece of A-Grade Investments, a company Ashton founded with mogul Ron Burkle.

Sources connected with the couple tell TMZ ... Ashton is scoffing at Demi's claim, since he founded the company -- which invests in tech start-ups -- AFTER he split with her.

But we've learned Ashton's willing to let Demi and her lawyers look at the financial records of A-Grade, but only if she signs a confidentiality agreement. She signed it, and it's now been filed with the court.

Short story -- the money fight continues.