First time post so would appreciate some advice.

Just bought a house with a neglected garden.

To the back I had 10 foot tall ivy which I have cut down and a mat of ivy just below what was once the lawn. After 3 rounds of glyphosphate much of the greenery is dying. I plan to leave over winter and then apply a further 2 rounds of glyphosphate to any growth before rotavating.

Mymain concerns a

Will glyphosphate kill roots of ivy\couchgrass which do not multiply after rotavating the soil?

I have also heard of triclopyr and brushwood killer, can this be used in conjunction with glyphosphate?

Just don't want to make matters worse by rotavating roots which reproduce.

Thanks in advance.