Market interest rate is a very general concept. General reference standards include market capital return rate, interbank lending rate, loan interest rate, etc. Generally speaking, the market interest rate is not accurate, and most of them are an equilibrium value of these interest rates. This value can only be estimated conceptually, and there is often no accurate value.

Interest rate futures are generally related to bond securities, especially national debt. Relatively speaking, this has a clear goal and can be calculated.

Generally speaking, these two things are very different and there is no direct connection. Their interaction only exists from a macro perspective, but I hope you can look through the textbooks yourself. You really don't have the energy to answer.