Send the installer a short, dated account of the problem with the cavity wall insulation and the fix you want. Section 49 of the Consumer Rights Act 2015 implies reasonable care and skill into the contract, and section 54 gives you repeat performance or a price reduction when it is missing.
Rate the cavity wall insulation under four stars and you are asked whether to send it to the provider first; we follow it through. Then the review goes up.
If the cavity wall insulation was MCS certified and is faulty, MCS takes complaints about its certified installers; grant problems go to Ofgem, which runs the Boiler Upgrade Scheme. For a dispute about the cavity wall insulation with the trader, Trading Standards is reached through the Citizens Advice consumer helpline on 0808 223 1133 in England and Wales, Advice Direct Scotland on 0808 800 9060, or Consumerline on 0300 123 6262 in Northern Ireland.
If the cavity wall insulation is still not settled, you can claim without a solicitor: the small claims track takes claims up to £10,000 in England and Wales, simple procedure up to £5,000 in Scotland, and the small claims court up to £5,000 in Northern Ireland.