As of now No, Veerashaiva Lingayats does not falls under OBC category. In the state of Karnataka they belong to BC but in centre list they come under General Category and not under OBC.

There are further 30 more sub divisions in Lingayats which are considered as OBC's as per the Center list but not Veerashiva Lingayats.

If you are Lingayat Uppara from Karnataka you will get OBC status for Central Government jobs.

All the best!!