Correct order of Lewis acid order for Boron halides is
BF3>BCl3>BBr3>BI3
BCl3>BF3>BBr3>BI3
BI3>BBr3>BCl3>BF3
BBr3>BCl3>BI3>BF3
Due to back bonding tendency in BF3 is more hence it is less Lewis acidBack bonding tendency decreases and Lewis acidic strength increases from BF3 to BI3