Cancer and a Gemini.. To fix or not to fix

Anyone know how to fix a relationship with a gem?.... 
I messed things up lying about something I should've just been honest about in the first place but I didn't trust him enough to understand  there fore I lied about it .. And then when asked face to face I cowardly lied AGAIN what an idiot .. I've def learned my lesson but I'd like your girls input.. Do I give him space, should I reach out to him..?