If you are using TurboTax, you would use the W-2 entry screen.  The amount in Box 1 of your W-2 will flow to Line 1 of your Form 1040. 

If I include this w2 from s-corp, income from the same flows to Form 1040, line 1. But income from the s-corp w2 is already included in total income - Form 1040, line 6 since it has the s-corp K-1 wage amount from Schedule 1, line 22

This leads to the w2 income from s-corp counted twice in total income - Form 1040, line 6 thereby leading to double taxation. Please let us know how to resolve the same

Your K-1, and therefore Line 17 on 1040 Schedule 1 should not include the wages you paid yourself.   They are a business deduction and should not included in net income/loss.