I had a rollover IRA from years ago that I withdrew money from, paid 10% taxes at the time of withdrawal and invested this money in my company shares. We are employee owned, can I reduce tax liability as this money was reinvested in something?
No, taking an IRA distribution to invest in shares of the company you are working in does not entitle you to any tax deductions or credits at the time of investment.
Is there a way to record my investment to my shares with my employer as something that will help my tax liabiiity?
Unfortunately, there isn't a special tax break available for reinvesting IRA distributions in a non-retirement investment such as public or private securities.
Once you remove funds from a qualified retirement account, they lose any special tax treatment (other than if you made a qualifying rollover).
When you sell those shares, however, the amount you paid for them will count as their cost basis and will reduce the taxable gain on the sale.