Write Below Code in UserControl1
On Button Click
Control2 ctrlA = (Control2)Page.FindControl("Co ntrol_2");//Co ntrol_2 is the tagName that is used for Control2 in the aspx Page
TextBox ddl = (TextBox)ctrlA.FindControl("tx tResult");
//txtResult is the Textbox id Present in Control2
ddl.Text = txtusername.Text;