Coventry Council can't empty our bins due to strike action so refund council tax

Sort out the bins that won't be emptied due to strike action in Coventry or refund our council tax for missed collections

This is a matter for Coventry City Council, not the UK Government or Parliament. You could therefore start a petition on the Coventry City Council website. You can find out more about how to do so here: https://www.coventry.gov.uk/petitions

You could also raise your issue with a local councillor who represents you. You can find out who your local councillors are, and how to contact them, by entering your post code here:
https://www.gov.uk/find-your-local-councillors

You may wish to sign this petition instead: Give residents rights to council tax refunds where they do not receive a service