By content, do you mean things like updates/posts and stuff you share, or written content like Pulse posts?

Cold messaging on LinkedIn isn't going to drive engagement. You'll likely just be annoying the person receiving that message. Speaking as someone who's on LinkedIn as a business owner, I get tons of cold messages from people trying to sell me things, find a job, or ask if I can "just take a look" at their resume or project without paying for my time if I don't get some lame form e-mail I just throw in the trash. Not going to work!

You need content that speaks to your target audience. Are you creating and sharing things they'll find interesting and helpful? Something that hasn't been seen before?

Find out what your LinkedIn audience wants and deliver it to them whether it's via update post or Pulse. Once you get some engagement, try messaging people who've interacted with you by pointing them to your blog and other off-site stuff through direct message.