The short answer, explained
When HMRC opens a VAT check, it wants evidence that supports the figures on your return: proof you made the sales and incurred the costs you've declared, and that the VAT treatment applied to each was correct.
The exact list depends on what's under review. A repayment check tends to focus on purchase invoices and evidence the input tax is genuine; a general compliance check looks more broadly across sales, purchases and your VAT account for the period.
Digital record-keeping under Making Tax Digital means most of this evidence should already sit in your accounting software, which makes producing it for HMRC considerably easier if your bookkeeping is up to date.

