Counter in between two dates

Hello, i want to have your great solution and idea for the calculation

I want to counter the number of contract between the contract start date and expired date

i have 2 simple table as date lookup and contract table.

if i make filter with the date lookup and i choose certain year month, i want to show the contract number, which are in the between the two dates .

i did below dax measure but it's not working as what i want.

Count contracts in period =

CALCULATE( DISTINCTCOUNT('Table'[Contract No.]), FILTER(ALL('Lookup Date'),'Lookup Date'[Date] <= MAX('Lookup Date'[Date])))

here is the link

https://drive.google.com/file/d/1PX39xQjsSQG1Vs7obYKUQBhY_oYs_89F/view?usp=sharing