I learnt this the hard way with our SaaS too. Just posting is shouting into the void. What actually moved the needle was treating Twitter and LinkedIn like networking, not broadcasting.
Picked one tight ICP and spent 30-45 minutes daily commenting on their posts and accounts they already follow. Not just "nice post" - had to add a tactic, ask a clarifying question, or share a screenshot from my own work. After a week or two, those people started checking my profile and following back.
Stopped chasing virality hacks and instead focused on one or two topics I wanted to be known for, repeating them from different angles. One useful thread per week, then one or two short takes per day.
On the side, searched where buyers complain: niche forums, Slack communities, private groups. Used TweetHunter and F5Bot for a while, ended up on Pulse for Reddit because it surfaced threads where people described the exact problem my product solves. Converted way faster than cold tweets. GTM made tracking those conversions a breeze - set up custom events on link clicks from those conversations and watched the pipeline fill.