Back pay to a successful PIP appeal

Good morning. 
I am an infrequent member looking for advice on ESA & PIP appeals.
 My PIP was stopped in sept 2020 & only just recently successfully appealed & repaid in full. My question is. When my PIP was stopped my ESA which had a disability element attatched was reduced.
 Now my PIP has been sorted, the ESA will address my payment reduction. Will ESA back pay my benefit seperately or will the back pay all be in one lump sum ie. the ESA & PIP together.
 Thank you for reading this query I would be grateful if you could advise me.
Kind regards. Trevor