You have alpha, Beta-unsaturated carbonyl compound. It will react with nucleophiles via 1,4- addition except organomagnesium and organolithium Nu. it will react via 1,2 with these reagents. So, if you need help you should clarify your Q.
Using Michael addition you can activate the beta-carbon of alpha,beta-unsaturated carbonyl compound. When nucleophiles react with alpha,beta-unsaturated carbonyl compounds, the beta carbon will activated.
Sir, Amer I need to react the double bond with a homoenolate....but in my case the homoenolate attacks the keto carbonyl group instead of the double bond.
This is going to depend heavily on the nature and reactivity of your homoenolate. If you are using a metalated system then addition of Cu(I) salts is often beneficial in achieving your desired selectivity. It is difficult to give further advice without more knowledge of the system.
Addition of TMSCl may also help promote the desired 1,4-addition, again depending on your system.