Sql-server – Refactor SQL to left join on TVF requiring input variable

I would like to join two tables and a table-valued function. The TVF take a date as input variable.

The expected output is:
Date, LimitName, Exposure, ProductValueEligible, ProductValueNonEligible

The Tables:

1. TABLE_A: Date, LimitName, LimitValue, Limit >> main table that
   specify limits I want to check
2. TABLE_B: Date, LimitName, ProductType (one-to-many) >> helper table that specify which products types map into each limit
3. TABLE_C (TVF): (several identification columns, like ID value, dates) + Date, ProductType, ProductValue, IsProductEligible >> the
   main product data to be aggregated and mapped into the limits

I am able to get the expected result using a query as below.

However, because the TVF takes a date as input variable, this query requires specifying the date 3 times. I would like to refactor the query to specify the date once, and have that condition applied to the TVF.

Reading up on this, I think that cross apply and outer apply should be able to do this, but I cannot seem to get syntax that works. I end up having to put where conditions in place, which drops rows (works like inner join rather than left join). I would appreciate some direction on how to make this work.

select
  a.Date
, a.LimitName
, sum(c_elig.ProductValue) as ProductValueEligible
, sum(c_non.ProductValue) as ProductValueNonEligible

-- TABLE_A: Date, LimitName, LimitValue, Limit
from Limits a

-- TABLE_B: Date, LimitName, ProductType (one-to-many)
left join LimitsProductTypes b
on b.Date = a.Date
and b.LimitName = a.LimitName

-- TABLE_C (TVF): <identification columns, like ID value, dates> + Date, ProductType, ProductValue, IsProductEligible
left join (
    -- Find eligible rows, and group by Product
    select Date, ProductType, sum(ProductValue) as SumProductValue
    from Function_DataSet('2019-05-15') --<------------------------------------- TVF, takes a date input
    where IsProductEligible = 'TRUE'
    group by Date, ProductType
) c_elig
on c_elig.Date = a.Date
and c_elig.ProductType = b.ProductType

left join (
    -- Find non-eligible rows, and group by Product
    select Date, ProductType, sum(ProductValue) as SumProductValue
    from Function_DataSet('2019-05-15') --<------------------------------------- TVF, takes a date input
    where IsProductEligible = 'FALSE'
    group by Date, ProductType
) c_non
on c_non.Date = a.Date
and c_non.ProductType = b.ProductType

where a.Date = '2019-05-15'   --<------------------------------------------- want to just specify date here

group by a.Date, a.LimitName