Typically only US citizens and residents are taxable on their worldwide income - not nonresident aliens (which is how US tax law would classify you as). Having monies deposited into a US bank account should not automatically subject you to US income taxes, but the bank and/or the US companies that pay you may start withholding US income taxes from your pay if they cannot associate your payments with a valid US tax identification number or there is a question about your tax status (i.e., employee vs. contractor, status as nonresident alien, etc).
The real question is whether the services that you perform via the internet for the US companies are treated as performed in the US or performed outside the US. The answer to this question depends on facts and circumstances not stated in your fact pattern.
If your services are treated as being performed in the US, then you may be subject to US taxes unless an exemption exists under an applicable tax treaty. If your services are treated as being performed outside the US, then you are probably not subject to US tax on this income. In any event, have you filed a Form W-8BEN with your US bank and your US contractors? Please refer to a US tax advisor for guidance on which you can rely.
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Based on your narrative, it does not appear that you would have any tax obligation here save for withholding/transfer taxes that would happen automatically as money moves from one account to yours back in your home country.
You may want to consult a tax professional either in your home country or here in the US to get some specific advice on your situation of course. Most of us here, including myself, offer a free phone consult.
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Unless you are working outside the US and are simply collecting fees from US companies for products or services, and are rendering those services overseas, you should not have tax issues in the US. US taxes are on those working in the US and US citizens on their worldwide income. If you have more specific questions, contact a tax attorney - this is more of a tax issue than an internet issue.
You say you are in business but do not know how to pay taxes in your own country? Payoneer claims to be in New York therefore one would assume they would be reporting to the IRS in some fashion like PayPal. However, you way you are colelcting payments not wages, so it is not clear at all.
This is not legal advice but a general comment on society based on a limited set of hypothetical circumstances. No one should act or refrain from acting based on these comments without seeking appropriately licensed legal or professional advice. The author disclaims all liability in respect to actions taken or not taken based on his comments.