public Brush Background { get; set; }

Public Property Background As Brush

<Window ...
    xmlns:dxe="http://schemas.devexpress.com/winfx/2008/xaml/editors">
    <StackPanel>
        <StackPanel.Resources>
            <Style x:Key="buttonInfoButtonStyle" TargetType="Button"
                                   BasedOn="{StaticResource {dxet:ButtonsThemeKey ResourceKey=ButtonStyle, ThemeName=Office2019Colorful}}">
                <Setter Property="Width" Value="20" />
                <Setter Property="Height" Value="20" />
                <Style.Triggers>
                    <Trigger Property="IsMouseOver" Value="True">
                        <Setter Property="Background" Value="#FF6200EE" />
                        <Setter Property="BorderThickness" Value="0" />
                        <Setter Property="TextElement.Foreground" Value="White" />
                    </Trigger>
                    <Trigger Property="IsPressed" Value="True">
                        <Setter Property="Background" Value="#FFA46BF5" />
                        <Setter Property="BorderThickness" Value="0" />
                        <Setter Property="TextElement.Foreground" Value="White" />
                    </Trigger>
                </Style.Triggers>
            </Style>
            <Style x:Key="imageButtonInfoButtonStyle" TargetType="Button"
                                   BasedOn="{StaticResource {dxet:ButtonsThemeKey ResourceKey=ImageButtonStyle, ThemeName=Office2019Colorful}}">
                <Setter Property="Width" Value="20" />
                <Setter Property="Height" Value="20" />
                <Style.Triggers>
                    <Trigger Property="IsMouseOver" Value="True">
                        <Setter Property="Background" Value="#FF6200EE" />
                        <Setter Property="BorderThickness" Value="0" />
                        <Setter Property="TextElement.Foreground" Value="White" />
                    </Trigger>
                    <Trigger Property="IsPressed" Value="True">
                        <Setter Property="Background" Value="#FFA46BF5" />
                        <Setter Property="BorderThickness" Value="0" />
                        <Setter Property="TextElement.Foreground" Value="White" />
                    </Trigger>
                </Style.Triggers>
            </Style>
            <Style x:Key="glyphStyle" TargetType="Image">
                <Setter Property="Width" Value="14" />
                <Setter Property="Height" Value="14" />
            </Style>
        </StackPanel.Resources>
        <dxe:ButtonEdit Margin="5" Padding="2,4"
                        BorderThickness="2" EditValue="Custom Appearance"
                        CornerRadius="14" AllowDefaultButton="False"
                        dxe:EditorAppearanceProperties.FocusedBorderBrush="#FF6200EE">
            <dxe:ButtonEdit.Buttons>
                <dxe:ImageButtonInfo CornerRadius="10" Background="Transparent"
                                     BorderThickness="1" BorderBrush="#FF777777"
                                     Foreground="#FF777777" Margin="4,2,2,2"
                                     IsLeft="True" Glyph="Home.svg"
                                     GlyphStyle="{StaticResource glyphStyle}"
                                     ButtonStyle="{StaticResource imageButtonInfoButtonStyle}" />
                <dxe:ButtonInfo CornerRadius="10" Background="PaleGoldenrod"
                                BorderThickness="1" BorderBrush="#FF777777"
                                Foreground="#FF777777" Margin="2,2,4,2"
                                GlyphKind="Plus"
                                ButtonStyle="{StaticResource buttonInfoButtonStyle}" />
                <dxe:ButtonInfo CornerRadius="10" Background="Transparent"
                                BorderThickness="1" BorderBrush="#FF777777"
                                Foreground="#FF777777" Margin="2,2,4,2"
                                GlyphKind="Minus"
                                ButtonStyle="{StaticResource buttonInfoButtonStyle}" />
            </dxe:ButtonEdit.Buttons>
        </dxe:ButtonEdit>
    </StackPanel>
</Window>