HI
This is something on which I have reflected and think that when attempting to engage with people in this age group,in an employability context,you are asking people who,in all probability, have deep and rich experience as well as highly developed skills to expose themselves to all the insecurities implicit in the novice role. This would be difficult for anyone. Their experience and skills may not stem from occupational activity but it is very likely that there is a field of human activity in which they feel as if they can act or speak with confidence.
If you can work out what this is and offer them the chance to engage in meaningful activity which allows them to demonstrate their knowledge or skill or even better put it to good use. You will enable them to engage with dignity.
Men's sheds are good at this as are music groups, gardening / DIY / craft groups etc. I think that what long term unemployed people desire most is the opportunity to feel useful. One thing I think you must resist is the temptation to talk to them about C.V'S, Job Interviews / applications etc until they are ready.
It is their decision to make as to when they are ready to do that.
People in this position have been knocked back so many times it is not surprising that they are averse to further reinforcement of the idea they have nothing of value to contribute. It is also very likely that,if they are long term unemployed,they will have been required to take part in various employability programs previously that included CV writing, job applications etc.
If you can provide people with the opportunity to make incremental progress toward meaningful achievement they are more likely to develop the sense of agency which is so important to us all.
Having said all this, would like to implement it more effectively myself.