I know it's popular to bash Trump, but it was the DHS that banned the software, not Trump:
In a binding directive, acting homeland security secretary Elaine Duke ordered that federal civilian agencies identify Kaspersky Lab software on their networks. After 90 days, unless otherwise directed, they must remove the software, on the grounds that the company has connections to the Russian government and its software poses a security risk.
Which came after the GSA removed them from the list of approved vendors:
The directive comes months after the federal General Services Administration, the agency in charge of government purchasing, removed Kaspersky from its list of approved vendors. In doing so, the GSA suggested a vulnerability exists with Kaspersky that could give the Kremlin backdoor access to the systems the company protects.