The Taxation (Cross-border Trade) Act 2018
The Customs (Export) (EU Exit) Regulations 2019
Customs and Excise Managment Act (CEMA) 1979 - Section 52 - 68 (Exports)
Value Added Tax Act 1994 - Section 16.1
Law regulations
Title VIII of UCC Articles 263 to 277 or Part 4, Regulations 9 to 50 of CEEER: covers legislation for goods taken out of the Customs Territory of the Union in general.
More specifically:
Article 6 of the UCC or Regulation 14 of CEEER: Means for the exchange and storage of information and common data requirments
Articles 166, 167 and 182 UCC or Regulations 31 to 38 CEEER: legislation on Simplified Procedure and Entry in Declarants records (SDP and EIDR)
Articles 170 to 175 UCC or Regulations 42 to 50 of CEEER: legislaion on steps of the export declaration process.