Could you encourage her to give her local DA service a wee call? They can take over and help guide her through it. The Police should really have referred her on if they haven't already. If she's waiting on her referral going through, they should have a Helpline she can call too for advice ASAP if you pop her area and DA services into google. Women's Aid are good but can be hard to get though to, so local is best.
From what I remember (it's a long time since I've gone through the process as it's a few years since my IDVA days), no witnesses are needed with the Police report, like the previous poster said.
Has she left him now? Are there bail conditions in place? If there are, the non-mol might have to be held off as there's a reluctance to have both in place at once (we were never able to but that might have changed now). If he's not at the house, I'd suggest a ring doorbell, so that if he turns up again and breaches the order/bail conditions, there's some good evidence there. If he is still in the house, DA services can also look at helping her to apply for an occupation order, which would prioritise her and the kids staying in the house and him being booted.
Sorry, some of that is a bit vague! Definitely ask her to call her local DA services as, with it being fresh, she's more at risk from him at the moment post-separation and she needs risk assessing and some solid safety planning.